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Finding the Fourth Proportional to 9,675.72, 14,488.98 and 6,378.82

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Solution

The fourth proportional to 9,675.72, 14,488.98 and 6,378.82 is: 9,552.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.72 : 14,488.98 = 6,378.82 : x
  2. Step 2: Convert to fraction form
    9,675.72/14,488.98 = 6,378.82/x
  3. Step 3: Cross multiply
    9,675.72x = 14,488.98 × 6,378.82
  4. Step 4: Simplify right side
    9,675.72x = 92,422,535.26
  5. Step 5: Solve for x
    x = 92,422,535.26/9,675.72
  6. Step 6: Final answer
    x = 9,552.01

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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.