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Finding the Fourth Proportional to 9,156.61, 13,712.52 and 8,269.15

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Solution

The fourth proportional to 9,156.61, 13,712.52 and 8,269.15 is: 12,383.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156.61 : 13,712.52 = 8,269.15 : x
  2. Step 2: Convert to fraction form
    9,156.61/13,712.52 = 8,269.15/x
  3. Step 3: Cross multiply
    9,156.61x = 13,712.52 × 8,269.15
  4. Step 4: Simplify right side
    9,156.61x = 113,390,884.76
  5. Step 5: Solve for x
    x = 113,390,884.76/9,156.61
  6. Step 6: Final answer
    x = 12,383.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.