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Finding the Fourth Proportional to 6,275.40, 9,414.66 and 4,430.11

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Solution

The fourth proportional to 6,275.40, 9,414.66 and 4,430.11 is: 6,646.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.40 : 9,414.66 = 4,430.11 : x
  2. Step 2: Convert to fraction form
    6,275.40/9,414.66 = 4,430.11/x
  3. Step 3: Cross multiply
    6,275.40x = 9,414.66 × 4,430.11
  4. Step 4: Simplify right side
    6,275.40x = 41,707,979.41
  5. Step 5: Solve for x
    x = 41,707,979.41/6,275.40
  6. Step 6: Final answer
    x = 6,646.27

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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.