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Finding the Fourth Proportional to 8,964.42, 13,440.15 and 4,578.54

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Solution

The fourth proportional to 8,964.42, 13,440.15 and 4,578.54 is: 6,864.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,964.42 : 13,440.15 = 4,578.54 : x
  2. Step 2: Convert to fraction form
    8,964.42/13,440.15 = 4,578.54/x
  3. Step 3: Cross multiply
    8,964.42x = 13,440.15 × 4,578.54
  4. Step 4: Simplify right side
    8,964.42x = 61,536,264.38
  5. Step 5: Solve for x
    x = 61,536,264.38/8,964.42
  6. Step 6: Final answer
    x = 6,864.50

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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.