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Finding the Fourth Proportional to 6,437.43, 9,658.98 and 2,740.05

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Solution

The fourth proportional to 6,437.43, 9,658.98 and 2,740.05 is: 4,111.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437.43 : 9,658.98 = 2,740.05 : x
  2. Step 2: Convert to fraction form
    6,437.43/9,658.98 = 2,740.05/x
  3. Step 3: Cross multiply
    6,437.43x = 9,658.98 × 2,740.05
  4. Step 4: Simplify right side
    6,437.43x = 26,466,088.15
  5. Step 5: Solve for x
    x = 26,466,088.15/6,437.43
  6. Step 6: Final answer
    x = 4,111.28

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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.