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Finding the Fourth Proportional to 9,351.34, 12,899.10 and 6,368.52

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Solution

The fourth proportional to 9,351.34, 12,899.10 and 6,368.52 is: 8,784.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351.34 : 12,899.10 = 6,368.52 : x
  2. Step 2: Convert to fraction form
    9,351.34/12,899.10 = 6,368.52/x
  3. Step 3: Cross multiply
    9,351.34x = 12,899.10 × 6,368.52
  4. Step 4: Simplify right side
    9,351.34x = 82,148,176.33
  5. Step 5: Solve for x
    x = 82,148,176.33/9,351.34
  6. Step 6: Final answer
    x = 8,784.64

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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.