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Finding the Fourth Proportional to 7,038.30, 9,712.74 and 3,894.49

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Solution

The fourth proportional to 7,038.30, 9,712.74 and 3,894.49 is: 5,374.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.30 : 9,712.74 = 3,894.49 : x
  2. Step 2: Convert to fraction form
    7,038.30/9,712.74 = 3,894.49/x
  3. Step 3: Cross multiply
    7,038.30x = 9,712.74 × 3,894.49
  4. Step 4: Simplify right side
    7,038.30x = 37,826,168.80
  5. Step 5: Solve for x
    x = 37,826,168.80/7,038.30
  6. Step 6: Final answer
    x = 5,374.33

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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.