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Finding the Fourth Proportional to 9,377.52, 14,066.40 and 2,452

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Solution

The fourth proportional to 9,377.52, 14,066.40 and 2,452 is: 3,678.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,377.52 : 14,066.40 = 2,452 : x
  2. Step 2: Convert to fraction form
    9,377.52/14,066.40 = 2,452/x
  3. Step 3: Cross multiply
    9,377.52x = 14,066.40 × 2,452
  4. Step 4: Simplify right side
    9,377.52x = 34,490,812.80
  5. Step 5: Solve for x
    x = 34,490,812.80/9,377.52
  6. Step 6: Final answer
    x = 3,678.03

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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.