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Finding the Fourth Proportional to 9,759.25, 13,473.57 and 6,407.93

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Solution

The fourth proportional to 9,759.25, 13,473.57 and 6,407.93 is: 8,846.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.25 : 13,473.57 = 6,407.93 : x
  2. Step 2: Convert to fraction form
    9,759.25/13,473.57 = 6,407.93/x
  3. Step 3: Cross multiply
    9,759.25x = 13,473.57 × 6,407.93
  4. Step 4: Simplify right side
    9,759.25x = 86,337,693.41
  5. Step 5: Solve for x
    x = 86,337,693.41/9,759.25
  6. Step 6: Final answer
    x = 8,846.75

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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.