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Finding the Fourth Proportional to 9,098.64, 13,637.39 and 4,168.80

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Solution

The fourth proportional to 9,098.64, 13,637.39 and 4,168.80 is: 6,248.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.64 : 13,637.39 = 4,168.80 : x
  2. Step 2: Convert to fraction form
    9,098.64/13,637.39 = 4,168.80/x
  3. Step 3: Cross multiply
    9,098.64x = 13,637.39 × 4,168.80
  4. Step 4: Simplify right side
    9,098.64x = 56,851,530.59
  5. Step 5: Solve for x
    x = 56,851,530.59/9,098.64
  6. Step 6: Final answer
    x = 6,248.35

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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.