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Finding the Fourth Proportional to 9,687.65, 14,535 and 5,985.62

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Solution

The fourth proportional to 9,687.65, 14,535 and 5,985.62 is: 8,980.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.65 : 14,535 = 5,985.62 : x
  2. Step 2: Convert to fraction form
    9,687.65/14,535 = 5,985.62/x
  3. Step 3: Cross multiply
    9,687.65x = 14,535 × 5,985.62
  4. Step 4: Simplify right side
    9,687.65x = 87,000,986.70
  5. Step 5: Solve for x
    x = 87,000,986.70/9,687.65
  6. Step 6: Final answer
    x = 8,980.61

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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.