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Finding the Fourth Proportional to 9,088.38, 12,537.10 and 6,099.07

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Solution

The fourth proportional to 9,088.38, 12,537.10 and 6,099.07 is: 8,413.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,088.38 : 12,537.10 = 6,099.07 : x
  2. Step 2: Convert to fraction form
    9,088.38/12,537.10 = 6,099.07/x
  3. Step 3: Cross multiply
    9,088.38x = 12,537.10 × 6,099.07
  4. Step 4: Simplify right side
    9,088.38x = 76,464,620.00
  5. Step 5: Solve for x
    x = 76,464,620.00/9,088.38
  6. Step 6: Final answer
    x = 8,413.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.