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Finding the Fourth Proportional to 9,605.28, 13,254.84 and 5,356.80

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Solution

The fourth proportional to 9,605.28, 13,254.84 and 5,356.80 is: 7,392.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.28 : 13,254.84 = 5,356.80 : x
  2. Step 2: Convert to fraction form
    9,605.28/13,254.84 = 5,356.80/x
  3. Step 3: Cross multiply
    9,605.28x = 13,254.84 × 5,356.80
  4. Step 4: Simplify right side
    9,605.28x = 71,003,526.91
  5. Step 5: Solve for x
    x = 71,003,526.91/9,605.28
  6. Step 6: Final answer
    x = 7,392.14

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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.