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Finding the Fourth Proportional to 9,954.68, 14,921.53 and 5,013.93

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Solution

The fourth proportional to 9,954.68, 14,921.53 and 5,013.93 is: 7,515.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,954.68 : 14,921.53 = 5,013.93 : x
  2. Step 2: Convert to fraction form
    9,954.68/14,921.53 = 5,013.93/x
  3. Step 3: Cross multiply
    9,954.68x = 14,921.53 × 5,013.93
  4. Step 4: Simplify right side
    9,954.68x = 74,815,494.38
  5. Step 5: Solve for x
    x = 74,815,494.38/9,954.68
  6. Step 6: Final answer
    x = 7,515.61

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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.