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Finding the Fourth Proportional to 9,672.40, 14,492.40 and 8,279.20

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Solution

The fourth proportional to 9,672.40, 14,492.40 and 8,279.20 is: 12,404.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.40 : 14,492.40 = 8,279.20 : x
  2. Step 2: Convert to fraction form
    9,672.40/14,492.40 = 8,279.20/x
  3. Step 3: Cross multiply
    9,672.40x = 14,492.40 × 8,279.20
  4. Step 4: Simplify right side
    9,672.40x = 119,985,478.08
  5. Step 5: Solve for x
    x = 119,985,478.08/9,672.40
  6. Step 6: Final answer
    x = 12,404.93

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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.