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Finding the Fourth Proportional to 7,031.34, 9,701.88 and 4,047.30

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Solution

The fourth proportional to 7,031.34, 9,701.88 and 4,047.30 is: 5,584.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.34 : 9,701.88 = 4,047.30 : x
  2. Step 2: Convert to fraction form
    7,031.34/9,701.88 = 4,047.30/x
  3. Step 3: Cross multiply
    7,031.34x = 9,701.88 × 4,047.30
  4. Step 4: Simplify right side
    7,031.34x = 39,266,418.92
  5. Step 5: Solve for x
    x = 39,266,418.92/7,031.34
  6. Step 6: Final answer
    x = 5,584.49

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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.