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Finding the Fourth Proportional to 10,275.37, 15,383.01 and 9,290.47

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Solution

The fourth proportional to 10,275.37, 15,383.01 and 9,290.47 is: 13,908.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,275.37 : 15,383.01 = 9,290.47 : x
  2. Step 2: Convert to fraction form
    10,275.37/15,383.01 = 9,290.47/x
  3. Step 3: Cross multiply
    10,275.37x = 15,383.01 × 9,290.47
  4. Step 4: Simplify right side
    10,275.37x = 142,915,392.91
  5. Step 5: Solve for x
    x = 142,915,392.91/10,275.37
  6. Step 6: Final answer
    x = 13,908.54

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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.