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Finding the Fourth Proportional to 9,657.44, 13,322.54 and 6,298.72

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Solution

The fourth proportional to 9,657.44, 13,322.54 and 6,298.72 is: 8,689.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.44 : 13,322.54 = 6,298.72 : x
  2. Step 2: Convert to fraction form
    9,657.44/13,322.54 = 6,298.72/x
  3. Step 3: Cross multiply
    9,657.44x = 13,322.54 × 6,298.72
  4. Step 4: Simplify right side
    9,657.44x = 83,914,949.15
  5. Step 5: Solve for x
    x = 83,914,949.15/9,657.44
  6. Step 6: Final answer
    x = 8,689.15

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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.