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Finding the Fourth Proportional to 9,646.55, 13,324.74 and 6,657.11

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Solution

The fourth proportional to 9,646.55, 13,324.74 and 6,657.11 is: 9,195.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.55 : 13,324.74 = 6,657.11 : x
  2. Step 2: Convert to fraction form
    9,646.55/13,324.74 = 6,657.11/x
  3. Step 3: Cross multiply
    9,646.55x = 13,324.74 × 6,657.11
  4. Step 4: Simplify right side
    9,646.55x = 88,704,259.90
  5. Step 5: Solve for x
    x = 88,704,259.90/9,646.55
  6. Step 6: Final answer
    x = 9,195.44

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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.