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Finding the Fourth Proportional to 9,091.84, 12,545.52 and 5,112.16

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Solution

The fourth proportional to 9,091.84, 12,545.52 and 5,112.16 is: 7,054.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,091.84 : 12,545.52 = 5,112.16 : x
  2. Step 2: Convert to fraction form
    9,091.84/12,545.52 = 5,112.16/x
  3. Step 3: Cross multiply
    9,091.84x = 12,545.52 × 5,112.16
  4. Step 4: Simplify right side
    9,091.84x = 64,134,705.52
  5. Step 5: Solve for x
    x = 64,134,705.52/9,091.84
  6. Step 6: Final answer
    x = 7,054.10

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