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Finding the Fourth Proportional to 6,865.74, 9,473.60 and 4,032.51

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Solution

The fourth proportional to 6,865.74, 9,473.60 and 4,032.51 is: 5,564.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,865.74 : 9,473.60 = 4,032.51 : x
  2. Step 2: Convert to fraction form
    6,865.74/9,473.60 = 4,032.51/x
  3. Step 3: Cross multiply
    6,865.74x = 9,473.60 × 4,032.51
  4. Step 4: Simplify right side
    6,865.74x = 38,202,366.57
  5. Step 5: Solve for x
    x = 38,202,366.57/6,865.74
  6. Step 6: Final answer
    x = 5,564.20

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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.