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Finding the Fourth Proportional to 9,758.88, 14,644.32 and 4,565.28

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Solution

The fourth proportional to 9,758.88, 14,644.32 and 4,565.28 is: 6,850.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.88 : 14,644.32 = 4,565.28 : x
  2. Step 2: Convert to fraction form
    9,758.88/14,644.32 = 4,565.28/x
  3. Step 3: Cross multiply
    9,758.88x = 14,644.32 × 4,565.28
  4. Step 4: Simplify right side
    9,758.88x = 66,855,421.21
  5. Step 5: Solve for x
    x = 66,855,421.21/9,758.88
  6. Step 6: Final answer
    x = 6,850.73

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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.