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Finding the Fourth Proportional to 6,646.32, 9,164.80 and 4,407.52

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Solution

The fourth proportional to 6,646.32, 9,164.80 and 4,407.52 is: 6,077.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.32 : 9,164.80 = 4,407.52 : x
  2. Step 2: Convert to fraction form
    6,646.32/9,164.80 = 4,407.52/x
  3. Step 3: Cross multiply
    6,646.32x = 9,164.80 × 4,407.52
  4. Step 4: Simplify right side
    6,646.32x = 40,394,039.30
  5. Step 5: Solve for x
    x = 40,394,039.30/6,646.32
  6. Step 6: Final answer
    x = 6,077.65

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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.