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Finding the Fourth Proportional to 6,557.91, 9,833.33 and 3,430.40

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Solution

The fourth proportional to 6,557.91, 9,833.33 and 3,430.40 is: 5,143.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,557.91 : 9,833.33 = 3,430.40 : x
  2. Step 2: Convert to fraction form
    6,557.91/9,833.33 = 3,430.40/x
  3. Step 3: Cross multiply
    6,557.91x = 9,833.33 × 3,430.40
  4. Step 4: Simplify right side
    6,557.91x = 33,732,188.91
  5. Step 5: Solve for x
    x = 33,732,188.91/6,557.91
  6. Step 6: Final answer
    x = 5,143.74

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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.