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Finding the Fourth Proportional to 9,866.31, 13,615.75 and 5,390.01

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Solution

The fourth proportional to 9,866.31, 13,615.75 and 5,390.01 is: 7,438.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.31 : 13,615.75 = 5,390.01 : x
  2. Step 2: Convert to fraction form
    9,866.31/13,615.75 = 5,390.01/x
  3. Step 3: Cross multiply
    9,866.31x = 13,615.75 × 5,390.01
  4. Step 4: Simplify right side
    9,866.31x = 73,389,028.66
  5. Step 5: Solve for x
    x = 73,389,028.66/9,866.31
  6. Step 6: Final answer
    x = 7,438.35

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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.