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Finding the Fourth Proportional to 9,282.60, 13,924.04 and 3,042.56

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Solution

The fourth proportional to 9,282.60, 13,924.04 and 3,042.56 is: 4,563.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.60 : 13,924.04 = 3,042.56 : x
  2. Step 2: Convert to fraction form
    9,282.60/13,924.04 = 3,042.56/x
  3. Step 3: Cross multiply
    9,282.60x = 13,924.04 × 3,042.56
  4. Step 4: Simplify right side
    9,282.60x = 42,364,746.74
  5. Step 5: Solve for x
    x = 42,364,746.74/9,282.60
  6. Step 6: Final answer
    x = 4,563.89

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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.