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Finding the Fourth Proportional to 6,709.86, 9,258.62 and 3,725.72

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Solution

The fourth proportional to 6,709.86, 9,258.62 and 3,725.72 is: 5,140.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.86 : 9,258.62 = 3,725.72 : x
  2. Step 2: Convert to fraction form
    6,709.86/9,258.62 = 3,725.72/x
  3. Step 3: Cross multiply
    6,709.86x = 9,258.62 × 3,725.72
  4. Step 4: Simplify right side
    6,709.86x = 34,495,025.71
  5. Step 5: Solve for x
    x = 34,495,025.71/6,709.86
  6. Step 6: Final answer
    x = 5,140.95

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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.