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Finding the Fourth Proportional to 9,441.24, 14,166.62 and 6,685.62

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Solution

The fourth proportional to 9,441.24, 14,166.62 and 6,685.62 is: 10,031.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,441.24 : 14,166.62 = 6,685.62 : x
  2. Step 2: Convert to fraction form
    9,441.24/14,166.62 = 6,685.62/x
  3. Step 3: Cross multiply
    9,441.24x = 14,166.62 × 6,685.62
  4. Step 4: Simplify right side
    9,441.24x = 94,712,638.00
  5. Step 5: Solve for x
    x = 94,712,638.00/9,441.24
  6. Step 6: Final answer
    x = 10,031.80

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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.