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Finding the Fourth Proportional to 6,598.92, 9,106.64 and 3,614.70

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Solution

The fourth proportional to 6,598.92, 9,106.64 and 3,614.70 is: 4,988.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598.92 : 9,106.64 = 3,614.70 : x
  2. Step 2: Convert to fraction form
    6,598.92/9,106.64 = 3,614.70/x
  3. Step 3: Cross multiply
    6,598.92x = 9,106.64 × 3,614.70
  4. Step 4: Simplify right side
    6,598.92x = 32,917,771.61
  5. Step 5: Solve for x
    x = 32,917,771.61/6,598.92
  6. Step 6: Final answer
    x = 4,988.36

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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.