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Finding the Fourth Proportional to 9,381.60, 14,070.15 and 5,424.30

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Solution

The fourth proportional to 9,381.60, 14,070.15 and 5,424.30 is: 8,135.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,381.60 : 14,070.15 = 5,424.30 : x
  2. Step 2: Convert to fraction form
    9,381.60/14,070.15 = 5,424.30/x
  3. Step 3: Cross multiply
    9,381.60x = 14,070.15 × 5,424.30
  4. Step 4: Simplify right side
    9,381.60x = 76,320,714.65
  5. Step 5: Solve for x
    x = 76,320,714.65/9,381.60
  6. Step 6: Final answer
    x = 8,135.15

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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.