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Finding the Fourth Proportional to 9,752.88, 14,635.32 and 4,559.28

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Solution

The fourth proportional to 9,752.88, 14,635.32 and 4,559.28 is: 6,841.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.88 : 14,635.32 = 4,559.28 : x
  2. Step 2: Convert to fraction form
    9,752.88/14,635.32 = 4,559.28/x
  3. Step 3: Cross multiply
    9,752.88x = 14,635.32 × 4,559.28
  4. Step 4: Simplify right side
    9,752.88x = 66,726,521.77
  5. Step 5: Solve for x
    x = 66,726,521.77/9,752.88
  6. Step 6: Final answer
    x = 6,841.72

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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.