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Finding the Fourth Proportional to 9,524.66, 13,144.84 and 5,547.02

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Solution

The fourth proportional to 9,524.66, 13,144.84 and 5,547.02 is: 7,655.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524.66 : 13,144.84 = 5,547.02 : x
  2. Step 2: Convert to fraction form
    9,524.66/13,144.84 = 5,547.02/x
  3. Step 3: Cross multiply
    9,524.66x = 13,144.84 × 5,547.02
  4. Step 4: Simplify right side
    9,524.66x = 72,914,690.38
  5. Step 5: Solve for x
    x = 72,914,690.38/9,524.66
  6. Step 6: Final answer
    x = 7,655.36

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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.