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Finding the Fourth Proportional to 9,549.38, 14,329.82 and 4,077.38

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Solution

The fourth proportional to 9,549.38, 14,329.82 and 4,077.38 is: 6,118.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549.38 : 14,329.82 = 4,077.38 : x
  2. Step 2: Convert to fraction form
    9,549.38/14,329.82 = 4,077.38/x
  3. Step 3: Cross multiply
    9,549.38x = 14,329.82 × 4,077.38
  4. Step 4: Simplify right side
    9,549.38x = 58,428,060.02
  5. Step 5: Solve for x
    x = 58,428,060.02/9,549.38
  6. Step 6: Final answer
    x = 6,118.52

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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.