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Finding the Fourth Proportional to 9,098.98, 13,648.77 and 2,525.23

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Solution

The fourth proportional to 9,098.98, 13,648.77 and 2,525.23 is: 3,787.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.98 : 13,648.77 = 2,525.23 : x
  2. Step 2: Convert to fraction form
    9,098.98/13,648.77 = 2,525.23/x
  3. Step 3: Cross multiply
    9,098.98x = 13,648.77 × 2,525.23
  4. Step 4: Simplify right side
    9,098.98x = 34,466,283.47
  5. Step 5: Solve for x
    x = 34,466,283.47/9,098.98
  6. Step 6: Final answer
    x = 3,787.93

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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.