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Finding the Fourth Proportional to 9,948.64, 13,729.12 and 5,756.80

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Solution

The fourth proportional to 9,948.64, 13,729.12 and 5,756.80 is: 7,944.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,948.64 : 13,729.12 = 5,756.80 : x
  2. Step 2: Convert to fraction form
    9,948.64/13,729.12 = 5,756.80/x
  3. Step 3: Cross multiply
    9,948.64x = 13,729.12 × 5,756.80
  4. Step 4: Simplify right side
    9,948.64x = 79,035,798.02
  5. Step 5: Solve for x
    x = 79,035,798.02/9,948.64
  6. Step 6: Final answer
    x = 7,944.38

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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.