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Finding the Fourth Proportional to 9,656.20, 13,326.08 and 5,878.77

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Solution

The fourth proportional to 9,656.20, 13,326.08 and 5,878.77 is: 8,113.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.20 : 13,326.08 = 5,878.77 : x
  2. Step 2: Convert to fraction form
    9,656.20/13,326.08 = 5,878.77/x
  3. Step 3: Cross multiply
    9,656.20x = 13,326.08 × 5,878.77
  4. Step 4: Simplify right side
    9,656.20x = 78,340,959.32
  5. Step 5: Solve for x
    x = 78,340,959.32/9,656.20
  6. Step 6: Final answer
    x = 8,113.02

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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.