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Finding the Fourth Proportional to 6,164.72, 9,253.66 and 2,656.45

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Solution

The fourth proportional to 6,164.72, 9,253.66 and 2,656.45 is: 3,987.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.72 : 9,253.66 = 2,656.45 : x
  2. Step 2: Convert to fraction form
    6,164.72/9,253.66 = 2,656.45/x
  3. Step 3: Cross multiply
    6,164.72x = 9,253.66 × 2,656.45
  4. Step 4: Simplify right side
    6,164.72x = 24,581,894.96
  5. Step 5: Solve for x
    x = 24,581,894.96/6,164.72
  6. Step 6: Final answer
    x = 3,987.52

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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.