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Finding the Fourth Proportional to 9,348.32, 12,905.76 and 6,827.84

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Solution

The fourth proportional to 9,348.32, 12,905.76 and 6,827.84 is: 9,426.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348.32 : 12,905.76 = 6,827.84 : x
  2. Step 2: Convert to fraction form
    9,348.32/12,905.76 = 6,827.84/x
  3. Step 3: Cross multiply
    9,348.32x = 12,905.76 × 6,827.84
  4. Step 4: Simplify right side
    9,348.32x = 88,118,464.36
  5. Step 5: Solve for x
    x = 88,118,464.36/9,348.32
  6. Step 6: Final answer
    x = 9,426.13

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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.