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Finding the Fourth Proportional to 7,038.36, 9,712.86 and 3,851.62

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Solution

The fourth proportional to 7,038.36, 9,712.86 and 3,851.62 is: 5,315.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.36 : 9,712.86 = 3,851.62 : x
  2. Step 2: Convert to fraction form
    7,038.36/9,712.86 = 3,851.62/x
  3. Step 3: Cross multiply
    7,038.36x = 9,712.86 × 3,851.62
  4. Step 4: Simplify right side
    7,038.36x = 37,410,255.62
  5. Step 5: Solve for x
    x = 37,410,255.62/7,038.36
  6. Step 6: Final answer
    x = 5,315.19

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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.