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Finding the Fourth Proportional to 9,488.85, 14,230.71 and 3,565.49

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Solution

The fourth proportional to 9,488.85, 14,230.71 and 3,565.49 is: 5,347.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.85 : 14,230.71 = 3,565.49 : x
  2. Step 2: Convert to fraction form
    9,488.85/14,230.71 = 3,565.49/x
  3. Step 3: Cross multiply
    9,488.85x = 14,230.71 × 3,565.49
  4. Step 4: Simplify right side
    9,488.85x = 50,739,490.58
  5. Step 5: Solve for x
    x = 50,739,490.58/9,488.85
  6. Step 6: Final answer
    x = 5,347.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.