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Finding the Fourth Proportional to 9,389.80, 14,086.40 and 4,459.40

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Solution

The fourth proportional to 9,389.80, 14,086.40 and 4,459.40 is: 6,689.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,389.80 : 14,086.40 = 4,459.40 : x
  2. Step 2: Convert to fraction form
    9,389.80/14,086.40 = 4,459.40/x
  3. Step 3: Cross multiply
    9,389.80x = 14,086.40 × 4,459.40
  4. Step 4: Simplify right side
    9,389.80x = 62,816,892.16
  5. Step 5: Solve for x
    x = 62,816,892.16/9,389.80
  6. Step 6: Final answer
    x = 6,689.91

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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.