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Finding the Fourth Proportional to 7,031.39, 9,704.30 and 4,047.15

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Solution

The fourth proportional to 7,031.39, 9,704.30 and 4,047.15 is: 5,585.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.39 : 9,704.30 = 4,047.15 : x
  2. Step 2: Convert to fraction form
    7,031.39/9,704.30 = 4,047.15/x
  3. Step 3: Cross multiply
    7,031.39x = 9,704.30 × 4,047.15
  4. Step 4: Simplify right side
    7,031.39x = 39,274,737.51
  5. Step 5: Solve for x
    x = 39,274,737.51/7,031.39
  6. Step 6: Final answer
    x = 5,585.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.