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Finding the Fourth Proportional to 9,570.59, 14,355.89 and 5,215.73

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Solution

The fourth proportional to 9,570.59, 14,355.89 and 5,215.73 is: 7,823.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.59 : 14,355.89 = 5,215.73 : x
  2. Step 2: Convert to fraction form
    9,570.59/14,355.89 = 5,215.73/x
  3. Step 3: Cross multiply
    9,570.59x = 14,355.89 × 5,215.73
  4. Step 4: Simplify right side
    9,570.59x = 74,876,348.29
  5. Step 5: Solve for x
    x = 74,876,348.29/9,570.59
  6. Step 6: Final answer
    x = 7,823.59

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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.