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Finding the Fourth Proportional to 9,738.60, 14,607.90 and 8,932.20

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Solution

The fourth proportional to 9,738.60, 14,607.90 and 8,932.20 is: 13,398.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738.60 : 14,607.90 = 8,932.20 : x
  2. Step 2: Convert to fraction form
    9,738.60/14,607.90 = 8,932.20/x
  3. Step 3: Cross multiply
    9,738.60x = 14,607.90 × 8,932.20
  4. Step 4: Simplify right side
    9,738.60x = 130,480,684.38
  5. Step 5: Solve for x
    x = 130,480,684.38/9,738.60
  6. Step 6: Final answer
    x = 13,398.30

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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.