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Finding the Fourth Proportional to 8,587.34, 12,864.30 and 6,331.76

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Solution

The fourth proportional to 8,587.34, 12,864.30 and 6,331.76 is: 9,485.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,587.34 : 12,864.30 = 6,331.76 : x
  2. Step 2: Convert to fraction form
    8,587.34/12,864.30 = 6,331.76/x
  3. Step 3: Cross multiply
    8,587.34x = 12,864.30 × 6,331.76
  4. Step 4: Simplify right side
    8,587.34x = 81,453,595.85
  5. Step 5: Solve for x
    x = 81,453,595.85/8,587.34
  6. Step 6: Final answer
    x = 9,485.32

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