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Finding the Fourth Proportional to 7,046,677.94, 9,724,250.21 and 4,146,256.67

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Solution

The fourth proportional to 7,046,677.94, 9,724,250.21 and 4,146,256.67 is: 5,721,736.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046,677.94 : 9,724,250.21 = 4,146,256.67 : x
  2. Step 2: Convert to fraction form
    7,046,677.94/9,724,250.21 = 4,146,256.67/x
  3. Step 3: Cross multiply
    7,046,677.94x = 9,724,250.21 × 4,146,256.67
  4. Step 4: Simplify right side
    7,046,677.94x = 40,319,237,224,608.87
  5. Step 5: Solve for x
    x = 40,319,237,224,608.87/7,046,677.94
  6. Step 6: Final answer
    x = 5,721,736.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.