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Finding the Fourth Proportional to 6,114.43, 8,437.95 and 3,319.93

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Solution

The fourth proportional to 6,114.43, 8,437.95 and 3,319.93 is: 4,581.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.43 : 8,437.95 = 3,319.93 : x
  2. Step 2: Convert to fraction form
    6,114.43/8,437.95 = 3,319.93/x
  3. Step 3: Cross multiply
    6,114.43x = 8,437.95 × 3,319.93
  4. Step 4: Simplify right side
    6,114.43x = 28,013,344.55
  5. Step 5: Solve for x
    x = 28,013,344.55/6,114.43
  6. Step 6: Final answer
    x = 4,581.52

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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.