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Finding the Fourth Proportional to 9,176.15, 12,656.04 and 6,187.25

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Solution

The fourth proportional to 9,176.15, 12,656.04 and 6,187.25 is: 8,533.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,176.15 : 12,656.04 = 6,187.25 : x
  2. Step 2: Convert to fraction form
    9,176.15/12,656.04 = 6,187.25/x
  3. Step 3: Cross multiply
    9,176.15x = 12,656.04 × 6,187.25
  4. Step 4: Simplify right side
    9,176.15x = 78,306,083.49
  5. Step 5: Solve for x
    x = 78,306,083.49/9,176.15
  6. Step 6: Final answer
    x = 8,533.65

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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.