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Finding the Fourth Proportional to 9,916, 14,862.48 and 4,065.52

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Solution

The fourth proportional to 9,916, 14,862.48 and 4,065.52 is: 6,093.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916 : 14,862.48 = 4,065.52 : x
  2. Step 2: Convert to fraction form
    9,916/14,862.48 = 4,065.52/x
  3. Step 3: Cross multiply
    9,916x = 14,862.48 × 4,065.52
  4. Step 4: Simplify right side
    9,916x = 60,423,709.69
  5. Step 5: Solve for x
    x = 60,423,709.69/9,916
  6. Step 6: Final answer
    x = 6,093.56

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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.