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Finding the Fourth Proportional to 9,098.14, 13,647.21 and 3,254.40

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Solution

The fourth proportional to 9,098.14, 13,647.21 and 3,254.40 is: 4,881.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.14 : 13,647.21 = 3,254.40 : x
  2. Step 2: Convert to fraction form
    9,098.14/13,647.21 = 3,254.40/x
  3. Step 3: Cross multiply
    9,098.14x = 13,647.21 × 3,254.40
  4. Step 4: Simplify right side
    9,098.14x = 44,413,480.22
  5. Step 5: Solve for x
    x = 44,413,480.22/9,098.14
  6. Step 6: Final answer
    x = 4,881.60

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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.