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Finding the Fourth Proportional to 6,762.92, 9,325.67 and 4,641.53

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Solution

The fourth proportional to 6,762.92, 9,325.67 and 4,641.53 is: 6,400.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.92 : 9,325.67 = 4,641.53 : x
  2. Step 2: Convert to fraction form
    6,762.92/9,325.67 = 4,641.53/x
  3. Step 3: Cross multiply
    6,762.92x = 9,325.67 × 4,641.53
  4. Step 4: Simplify right side
    6,762.92x = 43,285,307.24
  5. Step 5: Solve for x
    x = 43,285,307.24/6,762.92
  6. Step 6: Final answer
    x = 6,400.39

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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.