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Finding the Fourth Proportional to 9,856.71, 13,597.34 and 6,317.28

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Solution

The fourth proportional to 9,856.71, 13,597.34 and 6,317.28 is: 8,714.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.71 : 13,597.34 = 6,317.28 : x
  2. Step 2: Convert to fraction form
    9,856.71/13,597.34 = 6,317.28/x
  3. Step 3: Cross multiply
    9,856.71x = 13,597.34 × 6,317.28
  4. Step 4: Simplify right side
    9,856.71x = 85,898,172.45
  5. Step 5: Solve for x
    x = 85,898,172.45/9,856.71
  6. Step 6: Final answer
    x = 8,714.69

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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.