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Finding the Fourth Proportional to 8,972.86, 12,383.70 and 5,436.16

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Solution

The fourth proportional to 8,972.86, 12,383.70 and 5,436.16 is: 7,502.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972.86 : 12,383.70 = 5,436.16 : x
  2. Step 2: Convert to fraction form
    8,972.86/12,383.70 = 5,436.16/x
  3. Step 3: Cross multiply
    8,972.86x = 12,383.70 × 5,436.16
  4. Step 4: Simplify right side
    8,972.86x = 67,319,774.59
  5. Step 5: Solve for x
    x = 67,319,774.59/8,972.86
  6. Step 6: Final answer
    x = 7,502.60

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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.