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Finding the Fourth Proportional to 9,114.34, 13,671.52 and 3,919

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Solution

The fourth proportional to 9,114.34, 13,671.52 and 3,919 is: 5,878.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.34 : 13,671.52 = 3,919 : x
  2. Step 2: Convert to fraction form
    9,114.34/13,671.52 = 3,919/x
  3. Step 3: Cross multiply
    9,114.34x = 13,671.52 × 3,919
  4. Step 4: Simplify right side
    9,114.34x = 53,578,686.88
  5. Step 5: Solve for x
    x = 53,578,686.88/9,114.34
  6. Step 6: Final answer
    x = 5,878.50

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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.