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Finding the Fourth Proportional to 9,240.56, 13,838.52 and 6,470

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Solution

The fourth proportional to 9,240.56, 13,838.52 and 6,470 is: 9,689.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,240.56 : 13,838.52 = 6,470 : x
  2. Step 2: Convert to fraction form
    9,240.56/13,838.52 = 6,470/x
  3. Step 3: Cross multiply
    9,240.56x = 13,838.52 × 6,470
  4. Step 4: Simplify right side
    9,240.56x = 89,535,224.40
  5. Step 5: Solve for x
    x = 89,535,224.40/9,240.56
  6. Step 6: Final answer
    x = 9,689.37

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