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Finding the Fourth Proportional to 9,653.16, 13,319.19 and 5,876.22

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Solution

The fourth proportional to 9,653.16, 13,319.19 and 5,876.22 is: 8,107.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.16 : 13,319.19 = 5,876.22 : x
  2. Step 2: Convert to fraction form
    9,653.16/13,319.19 = 5,876.22/x
  3. Step 3: Cross multiply
    9,653.16x = 13,319.19 × 5,876.22
  4. Step 4: Simplify right side
    9,653.16x = 78,266,490.66
  5. Step 5: Solve for x
    x = 78,266,490.66/9,653.16
  6. Step 6: Final answer
    x = 8,107.86

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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.