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Finding the Fourth Proportional to 9,042.60, 13,553.10 and 4,657.80

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Solution

The fourth proportional to 9,042.60, 13,553.10 and 4,657.80 is: 6,981.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.60 : 13,553.10 = 4,657.80 : x
  2. Step 2: Convert to fraction form
    9,042.60/13,553.10 = 4,657.80/x
  3. Step 3: Cross multiply
    9,042.60x = 13,553.10 × 4,657.80
  4. Step 4: Simplify right side
    9,042.60x = 63,127,629.18
  5. Step 5: Solve for x
    x = 63,127,629.18/9,042.60
  6. Step 6: Final answer
    x = 6,981.14

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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.