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Finding the Fourth Proportional to 9,701.26, 14,551.99 and 7,765.76

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Solution

The fourth proportional to 9,701.26, 14,551.99 and 7,765.76 is: 11,648.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.26 : 14,551.99 = 7,765.76 : x
  2. Step 2: Convert to fraction form
    9,701.26/14,551.99 = 7,765.76/x
  3. Step 3: Cross multiply
    9,701.26x = 14,551.99 × 7,765.76
  4. Step 4: Simplify right side
    9,701.26x = 113,007,278.83
  5. Step 5: Solve for x
    x = 113,007,278.83/9,701.26
  6. Step 6: Final answer
    x = 11,648.72

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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.