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Finding the Fourth Proportional to 9,569.72, 13,210.80 and 5,589.56

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Solution

The fourth proportional to 9,569.72, 13,210.80 and 5,589.56 is: 7,716.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.72 : 13,210.80 = 5,589.56 : x
  2. Step 2: Convert to fraction form
    9,569.72/13,210.80 = 5,589.56/x
  3. Step 3: Cross multiply
    9,569.72x = 13,210.80 × 5,589.56
  4. Step 4: Simplify right side
    9,569.72x = 73,842,559.25
  5. Step 5: Solve for x
    x = 73,842,559.25/9,569.72
  6. Step 6: Final answer
    x = 7,716.27

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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.