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Finding the Fourth Proportional to 6,646.36, 9,164.76 and 4,407.52

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Solution

The fourth proportional to 6,646.36, 9,164.76 and 4,407.52 is: 6,077.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.36 : 9,164.76 = 4,407.52 : x
  2. Step 2: Convert to fraction form
    6,646.36/9,164.76 = 4,407.52/x
  3. Step 3: Cross multiply
    6,646.36x = 9,164.76 × 4,407.52
  4. Step 4: Simplify right side
    6,646.36x = 40,393,863.00
  5. Step 5: Solve for x
    x = 40,393,863.00/6,646.36
  6. Step 6: Final answer
    x = 6,077.59

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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.