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Finding the Fourth Proportional to 9,278.28, 13,917.51 and 3,038.22

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Solution

The fourth proportional to 9,278.28, 13,917.51 and 3,038.22 is: 4,557.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.28 : 13,917.51 = 3,038.22 : x
  2. Step 2: Convert to fraction form
    9,278.28/13,917.51 = 3,038.22/x
  3. Step 3: Cross multiply
    9,278.28x = 13,917.51 × 3,038.22
  4. Step 4: Simplify right side
    9,278.28x = 42,284,457.23
  5. Step 5: Solve for x
    x = 42,284,457.23/9,278.28
  6. Step 6: Final answer
    x = 4,557.36

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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.