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Finding the Fourth Proportional to 9,778.32, 13,499.33 and 7,551.72

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Solution

The fourth proportional to 9,778.32, 13,499.33 and 7,551.72 is: 10,425.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.32 : 13,499.33 = 7,551.72 : x
  2. Step 2: Convert to fraction form
    9,778.32/13,499.33 = 7,551.72/x
  3. Step 3: Cross multiply
    9,778.32x = 13,499.33 × 7,551.72
  4. Step 4: Simplify right side
    9,778.32x = 101,943,122.59
  5. Step 5: Solve for x
    x = 101,943,122.59/9,778.32
  6. Step 6: Final answer
    x = 10,425.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.