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Finding the Fourth Proportional to 7,031.36, 9,703.24 and 4,047.72

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Solution

The fourth proportional to 7,031.36, 9,703.24 and 4,047.72 is: 5,585.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.36 : 9,703.24 = 4,047.72 : x
  2. Step 2: Convert to fraction form
    7,031.36/9,703.24 = 4,047.72/x
  3. Step 3: Cross multiply
    7,031.36x = 9,703.24 × 4,047.72
  4. Step 4: Simplify right side
    7,031.36x = 39,275,998.61
  5. Step 5: Solve for x
    x = 39,275,998.61/7,031.36
  6. Step 6: Final answer
    x = 5,585.83

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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.