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Finding the Fourth Proportional to 7,041.96, 9,706.50 and 4,772.55

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Solution

The fourth proportional to 7,041.96, 9,706.50 and 4,772.55 is: 6,578.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,041.96 : 9,706.50 = 4,772.55 : x
  2. Step 2: Convert to fraction form
    7,041.96/9,706.50 = 4,772.55/x
  3. Step 3: Cross multiply
    7,041.96x = 9,706.50 × 4,772.55
  4. Step 4: Simplify right side
    7,041.96x = 46,324,756.58
  5. Step 5: Solve for x
    x = 46,324,756.58/7,041.96
  6. Step 6: Final answer
    x = 6,578.39

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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.