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Finding the Fourth Proportional to 9,972.95, 14,959.77 and 3,398.27

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Solution

The fourth proportional to 9,972.95, 14,959.77 and 3,398.27 is: 5,097.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,972.95 : 14,959.77 = 3,398.27 : x
  2. Step 2: Convert to fraction form
    9,972.95/14,959.77 = 3,398.27/x
  3. Step 3: Cross multiply
    9,972.95x = 14,959.77 × 3,398.27
  4. Step 4: Simplify right side
    9,972.95x = 50,837,337.60
  5. Step 5: Solve for x
    x = 50,837,337.60/9,972.95
  6. Step 6: Final answer
    x = 5,097.52

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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.