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Finding the Fourth Proportional to 9,549.52, 13,178.28 and 5,570.32

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Solution

The fourth proportional to 9,549.52, 13,178.28 and 5,570.32 is: 7,687.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549.52 : 13,178.28 = 5,570.32 : x
  2. Step 2: Convert to fraction form
    9,549.52/13,178.28 = 5,570.32/x
  3. Step 3: Cross multiply
    9,549.52x = 13,178.28 × 5,570.32
  4. Step 4: Simplify right side
    9,549.52x = 73,407,236.65
  5. Step 5: Solve for x
    x = 73,407,236.65/9,549.52
  6. Step 6: Final answer
    x = 7,687.01

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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.