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Finding the Fourth Proportional to 6,225.87, 9,315.74 and 4,989.53

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Solution

The fourth proportional to 6,225.87, 9,315.74 and 4,989.53 is: 7,465.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,225.87 : 9,315.74 = 4,989.53 : x
  2. Step 2: Convert to fraction form
    6,225.87/9,315.74 = 4,989.53/x
  3. Step 3: Cross multiply
    6,225.87x = 9,315.74 × 4,989.53
  4. Step 4: Simplify right side
    6,225.87x = 46,481,199.97
  5. Step 5: Solve for x
    x = 46,481,199.97/6,225.87
  6. Step 6: Final answer
    x = 7,465.81

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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.