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Finding the Fourth Proportional to 9,780.80, 14,685.12 and 6,071.12

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Solution

The fourth proportional to 9,780.80, 14,685.12 and 6,071.12 is: 9,115.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.80 : 14,685.12 = 6,071.12 : x
  2. Step 2: Convert to fraction form
    9,780.80/14,685.12 = 6,071.12/x
  3. Step 3: Cross multiply
    9,780.80x = 14,685.12 × 6,071.12
  4. Step 4: Simplify right side
    9,780.80x = 89,155,125.73
  5. Step 5: Solve for x
    x = 89,155,125.73/9,780.80
  6. Step 6: Final answer
    x = 9,115.32

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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.