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Finding the Fourth Proportional to 6,106.86, 9,154.15 and 2,411.71

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Solution

The fourth proportional to 6,106.86, 9,154.15 and 2,411.71 is: 3,615.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,106.86 : 9,154.15 = 2,411.71 : x
  2. Step 2: Convert to fraction form
    6,106.86/9,154.15 = 2,411.71/x
  3. Step 3: Cross multiply
    6,106.86x = 9,154.15 × 2,411.71
  4. Step 4: Simplify right side
    6,106.86x = 22,077,126.18
  5. Step 5: Solve for x
    x = 22,077,126.18/6,106.86
  6. Step 6: Final answer
    x = 3,615.14

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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.