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Finding the Fourth Proportional to 9,856.17, 13,592.64 and 6,318.69

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Solution

The fourth proportional to 9,856.17, 13,592.64 and 6,318.69 is: 8,714.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.17 : 13,592.64 = 6,318.69 : x
  2. Step 2: Convert to fraction form
    9,856.17/13,592.64 = 6,318.69/x
  3. Step 3: Cross multiply
    9,856.17x = 13,592.64 × 6,318.69
  4. Step 4: Simplify right side
    9,856.17x = 85,887,646.85
  5. Step 5: Solve for x
    x = 85,887,646.85/9,856.17
  6. Step 6: Final answer
    x = 8,714.10

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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.