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Finding the Fourth Proportional to 9,570.89, 13,204.86 and 5,589.13

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Solution

The fourth proportional to 9,570.89, 13,204.86 and 5,589.13 is: 7,711.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.89 : 13,204.86 = 5,589.13 : x
  2. Step 2: Convert to fraction form
    9,570.89/13,204.86 = 5,589.13/x
  3. Step 3: Cross multiply
    9,570.89x = 13,204.86 × 5,589.13
  4. Step 4: Simplify right side
    9,570.89x = 73,803,679.17
  5. Step 5: Solve for x
    x = 73,803,679.17/9,570.89
  6. Step 6: Final answer
    x = 7,711.27

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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.