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Finding the Fourth Proportional to 6,646.59, 9,162.23 and 5,465.61

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Solution

The fourth proportional to 6,646.59, 9,162.23 and 5,465.61 is: 7,534.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.59 : 9,162.23 = 5,465.61 : x
  2. Step 2: Convert to fraction form
    6,646.59/9,162.23 = 5,465.61/x
  3. Step 3: Cross multiply
    6,646.59x = 9,162.23 × 5,465.61
  4. Step 4: Simplify right side
    6,646.59x = 50,077,148.58
  5. Step 5: Solve for x
    x = 50,077,148.58/6,646.59
  6. Step 6: Final answer
    x = 7,534.26

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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.