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Finding the Fourth Proportional to 9,816.87, 14,780.57 and 8,654.34

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Solution

The fourth proportional to 9,816.87, 14,780.57 and 8,654.34 is: 13,030.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,816.87 : 14,780.57 = 8,654.34 : x
  2. Step 2: Convert to fraction form
    9,816.87/14,780.57 = 8,654.34/x
  3. Step 3: Cross multiply
    9,816.87x = 14,780.57 × 8,654.34
  4. Step 4: Simplify right side
    9,816.87x = 127,916,078.17
  5. Step 5: Solve for x
    x = 127,916,078.17/9,816.87
  6. Step 6: Final answer
    x = 13,030.23

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.