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Finding the Fourth Proportional to 7,038.96, 9,713.16 and 3,894.36

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Solution

The fourth proportional to 7,038.96, 9,713.16 and 3,894.36 is: 5,373.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.96 : 9,713.16 = 3,894.36 : x
  2. Step 2: Convert to fraction form
    7,038.96/9,713.16 = 3,894.36/x
  3. Step 3: Cross multiply
    7,038.96x = 9,713.16 × 3,894.36
  4. Step 4: Simplify right side
    7,038.96x = 37,826,541.78
  5. Step 5: Solve for x
    x = 37,826,541.78/7,038.96
  6. Step 6: Final answer
    x = 5,373.88

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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.