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Finding the Fourth Proportional to 9,098.82, 13,641.75 and 7,345.98

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Solution

The fourth proportional to 9,098.82, 13,641.75 and 7,345.98 is: 11,013.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.82 : 13,641.75 = 7,345.98 : x
  2. Step 2: Convert to fraction form
    9,098.82/13,641.75 = 7,345.98/x
  3. Step 3: Cross multiply
    9,098.82x = 13,641.75 × 7,345.98
  4. Step 4: Simplify right side
    9,098.82x = 100,212,022.67
  5. Step 5: Solve for x
    x = 100,212,022.67/9,098.82
  6. Step 6: Final answer
    x = 11,013.74

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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.