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Finding the Fourth Proportional to 9,447.76, 13,037.08 and 5,256.24

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Solution

The fourth proportional to 9,447.76, 13,037.08 and 5,256.24 is: 7,253.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447.76 : 13,037.08 = 5,256.24 : x
  2. Step 2: Convert to fraction form
    9,447.76/13,037.08 = 5,256.24/x
  3. Step 3: Cross multiply
    9,447.76x = 13,037.08 × 5,256.24
  4. Step 4: Simplify right side
    9,447.76x = 68,526,021.38
  5. Step 5: Solve for x
    x = 68,526,021.38/9,447.76
  6. Step 6: Final answer
    x = 7,253.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.