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Finding the Fourth Proportional to 10,114.05, 13,957.06 and 6,339.25

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Solution

The fourth proportional to 10,114.05, 13,957.06 and 6,339.25 is: 8,747.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,114.05 : 13,957.06 = 6,339.25 : x
  2. Step 2: Convert to fraction form
    10,114.05/13,957.06 = 6,339.25/x
  3. Step 3: Cross multiply
    10,114.05x = 13,957.06 × 6,339.25
  4. Step 4: Simplify right side
    10,114.05x = 88,477,292.61
  5. Step 5: Solve for x
    x = 88,477,292.61/10,114.05
  6. Step 6: Final answer
    x = 8,747.96

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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.