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Finding the Fourth Proportional to 9,675.38, 14,488.32 and 6,378.38

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Solution

The fourth proportional to 9,675.38, 14,488.32 and 6,378.38 is: 9,551.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.38 : 14,488.32 = 6,378.38 : x
  2. Step 2: Convert to fraction form
    9,675.38/14,488.32 = 6,378.38/x
  3. Step 3: Cross multiply
    9,675.38x = 14,488.32 × 6,378.38
  4. Step 4: Simplify right side
    9,675.38x = 92,412,010.52
  5. Step 5: Solve for x
    x = 92,412,010.52/9,675.38
  6. Step 6: Final answer
    x = 9,551.25

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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.