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Finding the Fourth Proportional to 9,966.07, 14,948.49 and 4,122.53

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Solution

The fourth proportional to 9,966.07, 14,948.49 and 4,122.53 is: 6,183.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.07 : 14,948.49 = 4,122.53 : x
  2. Step 2: Convert to fraction form
    9,966.07/14,948.49 = 4,122.53/x
  3. Step 3: Cross multiply
    9,966.07x = 14,948.49 × 4,122.53
  4. Step 4: Simplify right side
    9,966.07x = 61,625,523.74
  5. Step 5: Solve for x
    x = 61,625,523.74/9,966.07
  6. Step 6: Final answer
    x = 6,183.54

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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.