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Finding the Fourth Proportional to 9,311.06, 13,957.95 and 4,114.10

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Solution

The fourth proportional to 9,311.06, 13,957.95 and 4,114.10 is: 6,167.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.06 : 13,957.95 = 4,114.10 : x
  2. Step 2: Convert to fraction form
    9,311.06/13,957.95 = 4,114.10/x
  3. Step 3: Cross multiply
    9,311.06x = 13,957.95 × 4,114.10
  4. Step 4: Simplify right side
    9,311.06x = 57,424,402.10
  5. Step 5: Solve for x
    x = 57,424,402.10/9,311.06
  6. Step 6: Final answer
    x = 6,167.33

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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.