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Finding the Fourth Proportional to 10,301.79, 15,474.54 and 9,701.91

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Solution

The fourth proportional to 10,301.79, 15,474.54 and 9,701.91 is: 14,573.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,301.79 : 15,474.54 = 9,701.91 : x
  2. Step 2: Convert to fraction form
    10,301.79/15,474.54 = 9,701.91/x
  3. Step 3: Cross multiply
    10,301.79x = 15,474.54 × 9,701.91
  4. Step 4: Simplify right side
    10,301.79x = 150,132,594.37
  5. Step 5: Solve for x
    x = 150,132,594.37/10,301.79
  6. Step 6: Final answer
    x = 14,573.45

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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.