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Finding the Fourth Proportional to 7,031.88, 9,704.07 and 4,048.02

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Solution

The fourth proportional to 7,031.88, 9,704.07 and 4,048.02 is: 5,586.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.88 : 9,704.07 = 4,048.02 : x
  2. Step 2: Convert to fraction form
    7,031.88/9,704.07 = 4,048.02/x
  3. Step 3: Cross multiply
    7,031.88x = 9,704.07 × 4,048.02
  4. Step 4: Simplify right side
    7,031.88x = 39,282,269.44
  5. Step 5: Solve for x
    x = 39,282,269.44/7,031.88
  6. Step 6: Final answer
    x = 5,586.31

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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.