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Finding the Fourth Proportional to 9,304.42, 12,832.41 and 6,315.34

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Solution

The fourth proportional to 9,304.42, 12,832.41 and 6,315.34 is: 8,709.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,304.42 : 12,832.41 = 6,315.34 : x
  2. Step 2: Convert to fraction form
    9,304.42/12,832.41 = 6,315.34/x
  3. Step 3: Cross multiply
    9,304.42x = 12,832.41 × 6,315.34
  4. Step 4: Simplify right side
    9,304.42x = 81,041,032.17
  5. Step 5: Solve for x
    x = 81,041,032.17/9,304.42
  6. Step 6: Final answer
    x = 8,709.95

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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.