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Finding the Fourth Proportional to 9,327, 12,871.26 and 5,135.16

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Solution

The fourth proportional to 9,327, 12,871.26 and 5,135.16 is: 7,086.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,327 : 12,871.26 = 5,135.16 : x
  2. Step 2: Convert to fraction form
    9,327/12,871.26 = 5,135.16/x
  3. Step 3: Cross multiply
    9,327x = 12,871.26 × 5,135.16
  4. Step 4: Simplify right side
    9,327x = 66,095,979.50
  5. Step 5: Solve for x
    x = 66,095,979.50/9,327
  6. Step 6: Final answer
    x = 7,086.52

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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.