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Finding the Fourth Proportional to 6,436.16, 9,632.36 and 4,981.80

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Solution

The fourth proportional to 6,436.16, 9,632.36 and 4,981.80 is: 7,455.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436.16 : 9,632.36 = 4,981.80 : x
  2. Step 2: Convert to fraction form
    6,436.16/9,632.36 = 4,981.80/x
  3. Step 3: Cross multiply
    6,436.16x = 9,632.36 × 4,981.80
  4. Step 4: Simplify right side
    6,436.16x = 47,986,491.05
  5. Step 5: Solve for x
    x = 47,986,491.05/6,436.16
  6. Step 6: Final answer
    x = 7,455.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.