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Finding the Fourth Proportional to 9,694, 14,543.16 and 3,538

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Solution

The fourth proportional to 9,694, 14,543.16 and 3,538 is: 5,307.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694 : 14,543.16 = 3,538 : x
  2. Step 2: Convert to fraction form
    9,694/14,543.16 = 3,538/x
  3. Step 3: Cross multiply
    9,694x = 14,543.16 × 3,538
  4. Step 4: Simplify right side
    9,694x = 51,453,700.08
  5. Step 5: Solve for x
    x = 51,453,700.08/9,694
  6. Step 6: Final answer
    x = 5,307.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.