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Finding the Fourth Proportional to 9,549.56, 13,182.88 and 6,368.16

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Solution

The fourth proportional to 9,549.56, 13,182.88 and 6,368.16 is: 8,791.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549.56 : 13,182.88 = 6,368.16 : x
  2. Step 2: Convert to fraction form
    9,549.56/13,182.88 = 6,368.16/x
  3. Step 3: Cross multiply
    9,549.56x = 13,182.88 × 6,368.16
  4. Step 4: Simplify right side
    9,549.56x = 83,950,689.10
  5. Step 5: Solve for x
    x = 83,950,689.10/9,549.56
  6. Step 6: Final answer
    x = 8,791.05

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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.