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Finding the Fourth Proportional to 9,808.29, 13,534.87 and 5,332

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Solution

The fourth proportional to 9,808.29, 13,534.87 and 5,332 is: 7,357.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.29 : 13,534.87 = 5,332 : x
  2. Step 2: Convert to fraction form
    9,808.29/13,534.87 = 5,332/x
  3. Step 3: Cross multiply
    9,808.29x = 13,534.87 × 5,332
  4. Step 4: Simplify right side
    9,808.29x = 72,167,900.18
  5. Step 5: Solve for x
    x = 72,167,900.18/9,808.29
  6. Step 6: Final answer
    x = 7,357.85

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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.