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Finding the Fourth Proportional to 9,098.36, 13,646.04 and 2,525.22

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Solution

The fourth proportional to 9,098.36, 13,646.04 and 2,525.22 is: 3,787.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.36 : 13,646.04 = 2,525.22 : x
  2. Step 2: Convert to fraction form
    9,098.36/13,646.04 = 2,525.22/x
  3. Step 3: Cross multiply
    9,098.36x = 13,646.04 × 2,525.22
  4. Step 4: Simplify right side
    9,098.36x = 34,459,253.13
  5. Step 5: Solve for x
    x = 34,459,253.13/9,098.36
  6. Step 6: Final answer
    x = 3,787.41

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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.