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Finding the Fourth Proportional to 9,569.79, 13,206 and 5,593.08

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Solution

The fourth proportional to 9,569.79, 13,206 and 5,593.08 is: 7,718.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.79 : 13,206 = 5,593.08 : x
  2. Step 2: Convert to fraction form
    9,569.79/13,206 = 5,593.08/x
  3. Step 3: Cross multiply
    9,569.79x = 13,206 × 5,593.08
  4. Step 4: Simplify right side
    9,569.79x = 73,862,214.48
  5. Step 5: Solve for x
    x = 73,862,214.48/9,569.79
  6. Step 6: Final answer
    x = 7,718.27

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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.