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Finding the Fourth Proportional to 9,585.47, 14,363.63 and 5,687.75

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Solution

The fourth proportional to 9,585.47, 14,363.63 and 5,687.75 is: 8,522.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.47 : 14,363.63 = 5,687.75 : x
  2. Step 2: Convert to fraction form
    9,585.47/14,363.63 = 5,687.75/x
  3. Step 3: Cross multiply
    9,585.47x = 14,363.63 × 5,687.75
  4. Step 4: Simplify right side
    9,585.47x = 81,696,765.33
  5. Step 5: Solve for x
    x = 81,696,765.33/9,585.47
  6. Step 6: Final answer
    x = 8,522.98

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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.