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Finding the Fourth Proportional to 6,041.46, 9,047.64 and 5,348.94

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Solution

The fourth proportional to 6,041.46, 9,047.64 and 5,348.94 is: 8,010.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,041.46 : 9,047.64 = 5,348.94 : x
  2. Step 2: Convert to fraction form
    6,041.46/9,047.64 = 5,348.94/x
  3. Step 3: Cross multiply
    6,041.46x = 9,047.64 × 5,348.94
  4. Step 4: Simplify right side
    6,041.46x = 48,395,283.50
  5. Step 5: Solve for x
    x = 48,395,283.50/6,041.46
  6. Step 6: Final answer
    x = 8,010.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.