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Finding the Fourth Proportional to 9,686.70, 14,529.33 and 5,788.17

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Solution

The fourth proportional to 9,686.70, 14,529.33 and 5,788.17 is: 8,681.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.70 : 14,529.33 = 5,788.17 : x
  2. Step 2: Convert to fraction form
    9,686.70/14,529.33 = 5,788.17/x
  3. Step 3: Cross multiply
    9,686.70x = 14,529.33 × 5,788.17
  4. Step 4: Simplify right side
    9,686.70x = 84,098,232.03
  5. Step 5: Solve for x
    x = 84,098,232.03/9,686.70
  6. Step 6: Final answer
    x = 8,681.82

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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.