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Finding the Fourth Proportional to 9,532.98, 13,156.38 and 5,758.02

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Solution

The fourth proportional to 9,532.98, 13,156.38 and 5,758.02 is: 7,946.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.98 : 13,156.38 = 5,758.02 : x
  2. Step 2: Convert to fraction form
    9,532.98/13,156.38 = 5,758.02/x
  3. Step 3: Cross multiply
    9,532.98x = 13,156.38 × 5,758.02
  4. Step 4: Simplify right side
    9,532.98x = 75,754,699.17
  5. Step 5: Solve for x
    x = 75,754,699.17/9,532.98
  6. Step 6: Final answer
    x = 7,946.59

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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.