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Finding the Fourth Proportional to 9,115.98, 12,572.79 and 6,878.22

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Solution

The fourth proportional to 9,115.98, 12,572.79 and 6,878.22 is: 9,486.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,115.98 : 12,572.79 = 6,878.22 : x
  2. Step 2: Convert to fraction form
    9,115.98/12,572.79 = 6,878.22/x
  3. Step 3: Cross multiply
    9,115.98x = 12,572.79 × 6,878.22
  4. Step 4: Simplify right side
    9,115.98x = 86,478,415.63
  5. Step 5: Solve for x
    x = 86,478,415.63/9,115.98
  6. Step 6: Final answer
    x = 9,486.46

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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.