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Finding the Fourth Proportional to 7,045.76, 9,723.16 and 3,901.88

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Solution

The fourth proportional to 7,045.76, 9,723.16 and 3,901.88 is: 5,384.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,045.76 : 9,723.16 = 3,901.88 : x
  2. Step 2: Convert to fraction form
    7,045.76/9,723.16 = 3,901.88/x
  3. Step 3: Cross multiply
    7,045.76x = 9,723.16 × 3,901.88
  4. Step 4: Simplify right side
    7,045.76x = 37,938,603.54
  5. Step 5: Solve for x
    x = 37,938,603.54/7,045.76
  6. Step 6: Final answer
    x = 5,384.60

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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.