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Finding the Fourth Proportional to 6,532.85, 9,015.40 and 3,548.71

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Solution

The fourth proportional to 6,532.85, 9,015.40 and 3,548.71 is: 4,897.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.85 : 9,015.40 = 3,548.71 : x
  2. Step 2: Convert to fraction form
    6,532.85/9,015.40 = 3,548.71/x
  3. Step 3: Cross multiply
    6,532.85x = 9,015.40 × 3,548.71
  4. Step 4: Simplify right side
    6,532.85x = 31,993,055.84
  5. Step 5: Solve for x
    x = 31,993,055.84/6,532.85
  6. Step 6: Final answer
    x = 4,897.26

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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.