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Finding the Fourth Proportional to 9,961.13, 14,948.00 and 9,025.98

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Solution

The fourth proportional to 9,961.13, 14,948.00 and 9,025.98 is: 13,544.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,961.13 : 14,948.00 = 9,025.98 : x
  2. Step 2: Convert to fraction form
    9,961.13/14,948.00 = 9,025.98/x
  3. Step 3: Cross multiply
    9,961.13x = 14,948.00 × 9,025.98
  4. Step 4: Simplify right side
    9,961.13x = 134,920,229.17
  5. Step 5: Solve for x
    x = 134,920,229.17/9,961.13
  6. Step 6: Final answer
    x = 13,544.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.