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Finding the Fourth Proportional to 9,657.61, 13,327.14 and 5,465.86

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Solution

The fourth proportional to 9,657.61, 13,327.14 and 5,465.86 is: 7,542.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.61 : 13,327.14 = 5,465.86 : x
  2. Step 2: Convert to fraction form
    9,657.61/13,327.14 = 5,465.86/x
  3. Step 3: Cross multiply
    9,657.61x = 13,327.14 × 5,465.86
  4. Step 4: Simplify right side
    9,657.61x = 72,844,281.44
  5. Step 5: Solve for x
    x = 72,844,281.44/9,657.61
  6. Step 6: Final answer
    x = 7,542.68

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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.