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Finding the Fourth Proportional to 6,532.60, 9,014.91 and 3,548.53

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Solution

The fourth proportional to 6,532.60, 9,014.91 and 3,548.53 is: 4,896.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.60 : 9,014.91 = 3,548.53 : x
  2. Step 2: Convert to fraction form
    6,532.60/9,014.91 = 3,548.53/x
  3. Step 3: Cross multiply
    6,532.60x = 9,014.91 × 3,548.53
  4. Step 4: Simplify right side
    6,532.60x = 31,989,687.81
  5. Step 5: Solve for x
    x = 31,989,687.81/6,532.60
  6. Step 6: Final answer
    x = 4,896.93

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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.