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Finding the Fourth Proportional to 9,865.65, 13,614 and 5,388.51

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Solution

The fourth proportional to 9,865.65, 13,614 and 5,388.51 is: 7,435.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865.65 : 13,614 = 5,388.51 : x
  2. Step 2: Convert to fraction form
    9,865.65/13,614 = 5,388.51/x
  3. Step 3: Cross multiply
    9,865.65x = 13,614 × 5,388.51
  4. Step 4: Simplify right side
    9,865.65x = 73,359,175.14
  5. Step 5: Solve for x
    x = 73,359,175.14/9,865.65
  6. Step 6: Final answer
    x = 7,435.82

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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.