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Finding the Fourth Proportional to 9,747.30, 14,588.55 and 8,580.90

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Solution

The fourth proportional to 9,747.30, 14,588.55 and 8,580.90 is: 12,842.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,747.30 : 14,588.55 = 8,580.90 : x
  2. Step 2: Convert to fraction form
    9,747.30/14,588.55 = 8,580.90/x
  3. Step 3: Cross multiply
    9,747.30x = 14,588.55 × 8,580.90
  4. Step 4: Simplify right side
    9,747.30x = 125,182,888.70
  5. Step 5: Solve for x
    x = 125,182,888.70/9,747.30
  6. Step 6: Final answer
    x = 12,842.83

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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.