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Finding the Fourth Proportional to 6,532.13, 9,014.40 and 3,547.99

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Solution

The fourth proportional to 6,532.13, 9,014.40 and 3,547.99 is: 4,896.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.13 : 9,014.40 = 3,547.99 : x
  2. Step 2: Convert to fraction form
    6,532.13/9,014.40 = 3,547.99/x
  3. Step 3: Cross multiply
    6,532.13x = 9,014.40 × 3,547.99
  4. Step 4: Simplify right side
    6,532.13x = 31,982,993.41
  5. Step 5: Solve for x
    x = 31,982,993.41/6,532.13
  6. Step 6: Final answer
    x = 4,896.25

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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.