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Finding the Fourth Proportional to 6,386.60, 9,578.30 and 2,688.86

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Solution

The fourth proportional to 6,386.60, 9,578.30 and 2,688.86 is: 4,032.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,386.60 : 9,578.30 = 2,688.86 : x
  2. Step 2: Convert to fraction form
    6,386.60/9,578.30 = 2,688.86/x
  3. Step 3: Cross multiply
    6,386.60x = 9,578.30 × 2,688.86
  4. Step 4: Simplify right side
    6,386.60x = 25,754,707.74
  5. Step 5: Solve for x
    x = 25,754,707.74/6,386.60
  6. Step 6: Final answer
    x = 4,032.62

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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.