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Finding the Fourth Proportional to 9,586.65, 14,360.84 and 7,615.62

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Solution

The fourth proportional to 9,586.65, 14,360.84 and 7,615.62 is: 11,408.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.65 : 14,360.84 = 7,615.62 : x
  2. Step 2: Convert to fraction form
    9,586.65/14,360.84 = 7,615.62/x
  3. Step 3: Cross multiply
    9,586.65x = 14,360.84 × 7,615.62
  4. Step 4: Simplify right side
    9,586.65x = 109,366,669.38
  5. Step 5: Solve for x
    x = 109,366,669.38/9,586.65
  6. Step 6: Final answer
    x = 11,408.22

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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.