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Finding the Fourth Proportional to 6,164.47, 9,253.28 and 2,656.20

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Solution

The fourth proportional to 6,164.47, 9,253.28 and 2,656.20 is: 3,987.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.47 : 9,253.28 = 2,656.20 : x
  2. Step 2: Convert to fraction form
    6,164.47/9,253.28 = 2,656.20/x
  3. Step 3: Cross multiply
    6,164.47x = 9,253.28 × 2,656.20
  4. Step 4: Simplify right side
    6,164.47x = 24,578,591.55
  5. Step 5: Solve for x
    x = 24,578,591.55/6,164.47
  6. Step 6: Final answer
    x = 3,987.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.