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Finding the Fourth Proportional to 6,539.54, 9,024.35 and 3,888.14

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Solution

The fourth proportional to 6,539.54, 9,024.35 and 3,888.14 is: 5,365.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539.54 : 9,024.35 = 3,888.14 : x
  2. Step 2: Convert to fraction form
    6,539.54/9,024.35 = 3,888.14/x
  3. Step 3: Cross multiply
    6,539.54x = 9,024.35 × 3,888.14
  4. Step 4: Simplify right side
    6,539.54x = 35,087,871.65
  5. Step 5: Solve for x
    x = 35,087,871.65/6,539.54
  6. Step 6: Final answer
    x = 5,365.50

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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.