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Finding the Fourth Proportional to 7,013.58, 9,678.60 and 4,031.25

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Solution

The fourth proportional to 7,013.58, 9,678.60 and 4,031.25 is: 5,563.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.58 : 9,678.60 = 4,031.25 : x
  2. Step 2: Convert to fraction form
    7,013.58/9,678.60 = 4,031.25/x
  3. Step 3: Cross multiply
    7,013.58x = 9,678.60 × 4,031.25
  4. Step 4: Simplify right side
    7,013.58x = 39,016,856.25
  5. Step 5: Solve for x
    x = 39,016,856.25/7,013.58
  6. Step 6: Final answer
    x = 5,563.04

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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.