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Finding the Fourth Proportional to 6,349.07, 9,521.33 and 2,188

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Solution

The fourth proportional to 6,349.07, 9,521.33 and 2,188 is: 3,281.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.07 : 9,521.33 = 2,188 : x
  2. Step 2: Convert to fraction form
    6,349.07/9,521.33 = 2,188/x
  3. Step 3: Cross multiply
    6,349.07x = 9,521.33 × 2,188
  4. Step 4: Simplify right side
    6,349.07x = 20,832,670.04
  5. Step 5: Solve for x
    x = 20,832,670.04/6,349.07
  6. Step 6: Final answer
    x = 3,281.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.