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Finding the Fourth Proportional to 9,842.28, 14,754.48 and 5,894.70

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Solution

The fourth proportional to 9,842.28, 14,754.48 and 5,894.70 is: 8,836.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.28 : 14,754.48 = 5,894.70 : x
  2. Step 2: Convert to fraction form
    9,842.28/14,754.48 = 5,894.70/x
  3. Step 3: Cross multiply
    9,842.28x = 14,754.48 × 5,894.70
  4. Step 4: Simplify right side
    9,842.28x = 86,973,233.26
  5. Step 5: Solve for x
    x = 86,973,233.26/9,842.28
  6. Step 6: Final answer
    x = 8,836.70

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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.