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Finding the Fourth Proportional to 9,034.08, 12,468 and 6,934.56

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Solution

The fourth proportional to 9,034.08, 12,468 and 6,934.56 is: 9,570.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,034.08 : 12,468 = 6,934.56 : x
  2. Step 2: Convert to fraction form
    9,034.08/12,468 = 6,934.56/x
  3. Step 3: Cross multiply
    9,034.08x = 12,468 × 6,934.56
  4. Step 4: Simplify right side
    9,034.08x = 86,460,094.08
  5. Step 5: Solve for x
    x = 86,460,094.08/9,034.08
  6. Step 6: Final answer
    x = 9,570.44

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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.