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Finding the Fourth Proportional to 7,448.73, 11,228.46 and 6,417.19

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Solution

The fourth proportional to 7,448.73, 11,228.46 and 6,417.19 is: 9,673.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,448.73 : 11,228.46 = 6,417.19 : x
  2. Step 2: Convert to fraction form
    7,448.73/11,228.46 = 6,417.19/x
  3. Step 3: Cross multiply
    7,448.73x = 11,228.46 × 6,417.19
  4. Step 4: Simplify right side
    7,448.73x = 72,055,151.20
  5. Step 5: Solve for x
    x = 72,055,151.20/7,448.73
  6. Step 6: Final answer
    x = 9,673.49

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.