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Finding the Fourth Proportional to 6,106.71, 9,154.94 and 4,252.35

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Solution

The fourth proportional to 6,106.71, 9,154.94 and 4,252.35 is: 6,374.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,106.71 : 9,154.94 = 4,252.35 : x
  2. Step 2: Convert to fraction form
    6,106.71/9,154.94 = 4,252.35/x
  3. Step 3: Cross multiply
    6,106.71x = 9,154.94 × 4,252.35
  4. Step 4: Simplify right side
    6,106.71x = 38,929,987.85
  5. Step 5: Solve for x
    x = 38,929,987.85/6,106.71
  6. Step 6: Final answer
    x = 6,374.95

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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.