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Finding the Fourth Proportional to 7,031.36, 9,705.20 and 4,377.21

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Solution

The fourth proportional to 7,031.36, 9,705.20 and 4,377.21 is: 6,041.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.36 : 9,705.20 = 4,377.21 : x
  2. Step 2: Convert to fraction form
    7,031.36/9,705.20 = 4,377.21/x
  3. Step 3: Cross multiply
    7,031.36x = 9,705.20 × 4,377.21
  4. Step 4: Simplify right side
    7,031.36x = 42,481,698.49
  5. Step 5: Solve for x
    x = 42,481,698.49/7,031.36
  6. Step 6: Final answer
    x = 6,041.75

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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.