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Finding the Fourth Proportional to 7,038.43, 9,713.34 and 3,894.62

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Solution

The fourth proportional to 7,038.43, 9,713.34 and 3,894.62 is: 5,374.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.43 : 9,713.34 = 3,894.62 : x
  2. Step 2: Convert to fraction form
    7,038.43/9,713.34 = 3,894.62/x
  3. Step 3: Cross multiply
    7,038.43x = 9,713.34 × 3,894.62
  4. Step 4: Simplify right side
    7,038.43x = 37,829,719.66
  5. Step 5: Solve for x
    x = 37,829,719.66/7,038.43
  6. Step 6: Final answer
    x = 5,374.74

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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.