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Finding the Fourth Proportional to 9,389.52, 14,070.38 and 3,836.16

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Solution

The fourth proportional to 9,389.52, 14,070.38 and 3,836.16 is: 5,748.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,389.52 : 14,070.38 = 3,836.16 : x
  2. Step 2: Convert to fraction form
    9,389.52/14,070.38 = 3,836.16/x
  3. Step 3: Cross multiply
    9,389.52x = 14,070.38 × 3,836.16
  4. Step 4: Simplify right side
    9,389.52x = 53,976,228.94
  5. Step 5: Solve for x
    x = 53,976,228.94/9,389.52
  6. Step 6: Final answer
    x = 5,748.56

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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.