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Finding the Fourth Proportional to 7,031.10, 9,703.17 and 4,199.70

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Solution

The fourth proportional to 7,031.10, 9,703.17 and 4,199.70 is: 5,795.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.10 : 9,703.17 = 4,199.70 : x
  2. Step 2: Convert to fraction form
    7,031.10/9,703.17 = 4,199.70/x
  3. Step 3: Cross multiply
    7,031.10x = 9,703.17 × 4,199.70
  4. Step 4: Simplify right side
    7,031.10x = 40,750,403.05
  5. Step 5: Solve for x
    x = 40,750,403.05/7,031.10
  6. Step 6: Final answer
    x = 5,795.74

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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.