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Finding the Fourth Proportional to 7,219.38, 9,959.05 and 4,705.70

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Solution

The fourth proportional to 7,219.38, 9,959.05 and 4,705.70 is: 6,491.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,219.38 : 9,959.05 = 4,705.70 : x
  2. Step 2: Convert to fraction form
    7,219.38/9,959.05 = 4,705.70/x
  3. Step 3: Cross multiply
    7,219.38x = 9,959.05 × 4,705.70
  4. Step 4: Simplify right side
    7,219.38x = 46,864,257.67
  5. Step 5: Solve for x
    x = 46,864,257.67/7,219.38
  6. Step 6: Final answer
    x = 6,491.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.