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Finding the Fourth Proportional to 9,569.49, 13,206.07 and 5,320.90

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Solution

The fourth proportional to 9,569.49, 13,206.07 and 5,320.90 is: 7,342.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.49 : 13,206.07 = 5,320.90 : x
  2. Step 2: Convert to fraction form
    9,569.49/13,206.07 = 5,320.90/x
  3. Step 3: Cross multiply
    9,569.49x = 13,206.07 × 5,320.90
  4. Step 4: Simplify right side
    9,569.49x = 70,268,177.86
  5. Step 5: Solve for x
    x = 70,268,177.86/9,569.49
  6. Step 6: Final answer
    x = 7,342.94

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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.