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Finding the Fourth Proportional to 9,746.10, 14,608.71 and 5,061.42

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Solution

The fourth proportional to 9,746.10, 14,608.71 and 5,061.42 is: 7,586.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,746.10 : 14,608.71 = 5,061.42 : x
  2. Step 2: Convert to fraction form
    9,746.10/14,608.71 = 5,061.42/x
  3. Step 3: Cross multiply
    9,746.10x = 14,608.71 × 5,061.42
  4. Step 4: Simplify right side
    9,746.10x = 73,940,816.97
  5. Step 5: Solve for x
    x = 73,940,816.97/9,746.10
  6. Step 6: Final answer
    x = 7,586.71

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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.