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Finding the Fourth Proportional to 9,440.40, 14,162.76 and 5,278.35

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Solution

The fourth proportional to 9,440.40, 14,162.76 and 5,278.35 is: 7,918.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,440.40 : 14,162.76 = 5,278.35 : x
  2. Step 2: Convert to fraction form
    9,440.40/14,162.76 = 5,278.35/x
  3. Step 3: Cross multiply
    9,440.40x = 14,162.76 × 5,278.35
  4. Step 4: Simplify right side
    9,440.40x = 74,756,004.25
  5. Step 5: Solve for x
    x = 74,756,004.25/9,440.40
  6. Step 6: Final answer
    x = 7,918.73

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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.