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Finding the Fourth Proportional to 6,614.47, 9,123.15 and 4,378.26

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Solution

The fourth proportional to 6,614.47, 9,123.15 and 4,378.26 is: 6,038.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.47 : 9,123.15 = 4,378.26 : x
  2. Step 2: Convert to fraction form
    6,614.47/9,123.15 = 4,378.26/x
  3. Step 3: Cross multiply
    6,614.47x = 9,123.15 × 4,378.26
  4. Step 4: Simplify right side
    6,614.47x = 39,943,522.72
  5. Step 5: Solve for x
    x = 39,943,522.72/6,614.47
  6. Step 6: Final answer
    x = 6,038.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.