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Finding the Fourth Proportional to 9,725.65, 13,421.39 and 5,695.22

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Solution

The fourth proportional to 9,725.65, 13,421.39 and 5,695.22 is: 7,859.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,725.65 : 13,421.39 = 5,695.22 : x
  2. Step 2: Convert to fraction form
    9,725.65/13,421.39 = 5,695.22/x
  3. Step 3: Cross multiply
    9,725.65x = 13,421.39 × 5,695.22
  4. Step 4: Simplify right side
    9,725.65x = 76,437,773.83
  5. Step 5: Solve for x
    x = 76,437,773.83/9,725.65
  6. Step 6: Final answer
    x = 7,859.40

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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.