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Finding the Fourth Proportional to 9,974.12, 14,959.56 and 4,709.12

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Solution

The fourth proportional to 9,974.12, 14,959.56 and 4,709.12 is: 7,062.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.12 : 14,959.56 = 4,709.12 : x
  2. Step 2: Convert to fraction form
    9,974.12/14,959.56 = 4,709.12/x
  3. Step 3: Cross multiply
    9,974.12x = 14,959.56 × 4,709.12
  4. Step 4: Simplify right side
    9,974.12x = 70,446,363.71
  5. Step 5: Solve for x
    x = 70,446,363.71/9,974.12
  6. Step 6: Final answer
    x = 7,062.91

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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.