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Finding the Fourth Proportional to 8,920.54, 12,309.16 and 5,143.84

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Solution

The fourth proportional to 8,920.54, 12,309.16 and 5,143.84 is: 7,097.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,920.54 : 12,309.16 = 5,143.84 : x
  2. Step 2: Convert to fraction form
    8,920.54/12,309.16 = 5,143.84/x
  3. Step 3: Cross multiply
    8,920.54x = 12,309.16 × 5,143.84
  4. Step 4: Simplify right side
    8,920.54x = 63,316,349.57
  5. Step 5: Solve for x
    x = 63,316,349.57/8,920.54
  6. Step 6: Final answer
    x = 7,097.82

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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.