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Finding the Fourth Proportional to 6,291.60, 9,366.24 and 6,258.96

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Solution

The fourth proportional to 6,291.60, 9,366.24 and 6,258.96 is: 9,317.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.60 : 9,366.24 = 6,258.96 : x
  2. Step 2: Convert to fraction form
    6,291.60/9,366.24 = 6,258.96/x
  3. Step 3: Cross multiply
    6,291.60x = 9,366.24 × 6,258.96
  4. Step 4: Simplify right side
    6,291.60x = 58,622,921.51
  5. Step 5: Solve for x
    x = 58,622,921.51/6,291.60
  6. Step 6: Final answer
    x = 9,317.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.