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Finding the Fourth Proportional to 9,713.52, 13,395.76 and 7,201.88

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Solution

The fourth proportional to 9,713.52, 13,395.76 and 7,201.88 is: 9,932.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.52 : 13,395.76 = 7,201.88 : x
  2. Step 2: Convert to fraction form
    9,713.52/13,395.76 = 7,201.88/x
  3. Step 3: Cross multiply
    9,713.52x = 13,395.76 × 7,201.88
  4. Step 4: Simplify right side
    9,713.52x = 96,474,656.03
  5. Step 5: Solve for x
    x = 96,474,656.03/9,713.52
  6. Step 6: Final answer
    x = 9,932.00

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1.5x scale

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.