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Finding the Fourth Proportional to 9,972.45, 14,959.08 and 5,296.86

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Solution

The fourth proportional to 9,972.45, 14,959.08 and 5,296.86 is: 7,945.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,972.45 : 14,959.08 = 5,296.86 : x
  2. Step 2: Convert to fraction form
    9,972.45/14,959.08 = 5,296.86/x
  3. Step 3: Cross multiply
    9,972.45x = 14,959.08 × 5,296.86
  4. Step 4: Simplify right side
    9,972.45x = 79,236,152.49
  5. Step 5: Solve for x
    x = 79,236,152.49/9,972.45
  6. Step 6: Final answer
    x = 7,945.51

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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.