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Finding the Fourth Proportional to 6,632.40, 9,143.04 and 4,636.74

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Solution

The fourth proportional to 6,632.40, 9,143.04 and 4,636.74 is: 6,391.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,632.40 : 9,143.04 = 4,636.74 : x
  2. Step 2: Convert to fraction form
    6,632.40/9,143.04 = 4,636.74/x
  3. Step 3: Cross multiply
    6,632.40x = 9,143.04 × 4,636.74
  4. Step 4: Simplify right side
    6,632.40x = 42,393,899.29
  5. Step 5: Solve for x
    x = 42,393,899.29/6,632.40
  6. Step 6: Final answer
    x = 6,391.94

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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.