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Finding the Fourth Proportional to 9,518.10, 14,278.05 and 3,972.68

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Solution

The fourth proportional to 9,518.10, 14,278.05 and 3,972.68 is: 5,959.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,518.10 : 14,278.05 = 3,972.68 : x
  2. Step 2: Convert to fraction form
    9,518.10/14,278.05 = 3,972.68/x
  3. Step 3: Cross multiply
    9,518.10x = 14,278.05 × 3,972.68
  4. Step 4: Simplify right side
    9,518.10x = 56,722,123.67
  5. Step 5: Solve for x
    x = 56,722,123.67/9,518.10
  6. Step 6: Final answer
    x = 5,959.40

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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.