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Finding the Fourth Proportional to 9,605.48, 13,255.62 and 5,356.81

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Solution

The fourth proportional to 9,605.48, 13,255.62 and 5,356.81 is: 7,392.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.48 : 13,255.62 = 5,356.81 : x
  2. Step 2: Convert to fraction form
    9,605.48/13,255.62 = 5,356.81/x
  3. Step 3: Cross multiply
    9,605.48x = 13,255.62 × 5,356.81
  4. Step 4: Simplify right side
    9,605.48x = 71,007,744.71
  5. Step 5: Solve for x
    x = 71,007,744.71/9,605.48
  6. Step 6: Final answer
    x = 7,392.42

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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.