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Finding the Fourth Proportional to 9,602.14, 13,224.46 and 8,275.36

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Solution

The fourth proportional to 9,602.14, 13,224.46 and 8,275.36 is: 11,397.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.14 : 13,224.46 = 8,275.36 : x
  2. Step 2: Convert to fraction form
    9,602.14/13,224.46 = 8,275.36/x
  3. Step 3: Cross multiply
    9,602.14x = 13,224.46 × 8,275.36
  4. Step 4: Simplify right side
    9,602.14x = 109,437,167.31
  5. Step 5: Solve for x
    x = 109,437,167.31/9,602.14
  6. Step 6: Final answer
    x = 11,397.16

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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.