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Finding the Fourth Proportional to 9,536.32, 14,304.52 and 3,376

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Solution

The fourth proportional to 9,536.32, 14,304.52 and 3,376 is: 5,064.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,536.32 : 14,304.52 = 3,376 : x
  2. Step 2: Convert to fraction form
    9,536.32/14,304.52 = 3,376/x
  3. Step 3: Cross multiply
    9,536.32x = 14,304.52 × 3,376
  4. Step 4: Simplify right side
    9,536.32x = 48,292,059.52
  5. Step 5: Solve for x
    x = 48,292,059.52/9,536.32
  6. Step 6: Final answer
    x = 5,064.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.