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Finding the Fourth Proportional to 9,216.57, 13,807.51 and 5,457.23

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Solution

The fourth proportional to 9,216.57, 13,807.51 and 5,457.23 is: 8,175.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216.57 : 13,807.51 = 5,457.23 : x
  2. Step 2: Convert to fraction form
    9,216.57/13,807.51 = 5,457.23/x
  3. Step 3: Cross multiply
    9,216.57x = 13,807.51 × 5,457.23
  4. Step 4: Simplify right side
    9,216.57x = 75,350,675.12
  5. Step 5: Solve for x
    x = 75,350,675.12/9,216.57
  6. Step 6: Final answer
    x = 8,175.57

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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.