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Finding the Fourth Proportional to 7,038.44, 9,713.54 and 3,894.76

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Solution

The fourth proportional to 7,038.44, 9,713.54 and 3,894.76 is: 5,375.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.44 : 9,713.54 = 3,894.76 : x
  2. Step 2: Convert to fraction form
    7,038.44/9,713.54 = 3,894.76/x
  3. Step 3: Cross multiply
    7,038.44x = 9,713.54 × 3,894.76
  4. Step 4: Simplify right side
    7,038.44x = 37,831,907.05
  5. Step 5: Solve for x
    x = 37,831,907.05/7,038.44
  6. Step 6: Final answer
    x = 5,375.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.