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Finding the Fourth Proportional to 7,038.72, 9,713.28 and 3,894.90

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Solution

The fourth proportional to 7,038.72, 9,713.28 and 3,894.90 is: 5,374.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.72 : 9,713.28 = 3,894.90 : x
  2. Step 2: Convert to fraction form
    7,038.72/9,713.28 = 3,894.90/x
  3. Step 3: Cross multiply
    7,038.72x = 9,713.28 × 3,894.90
  4. Step 4: Simplify right side
    7,038.72x = 37,832,254.27
  5. Step 5: Solve for x
    x = 37,832,254.27/7,038.72
  6. Step 6: Final answer
    x = 5,374.88

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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.