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Finding the Fourth Proportional to 9,278.34, 13,918.27 and 3,038.21

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Solution

The fourth proportional to 9,278.34, 13,918.27 and 3,038.21 is: 4,557.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.34 : 13,918.27 = 3,038.21 : x
  2. Step 2: Convert to fraction form
    9,278.34/13,918.27 = 3,038.21/x
  3. Step 3: Cross multiply
    9,278.34x = 13,918.27 × 3,038.21
  4. Step 4: Simplify right side
    9,278.34x = 42,286,627.10
  5. Step 5: Solve for x
    x = 42,286,627.10/9,278.34
  6. Step 6: Final answer
    x = 4,557.57

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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.