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Finding the Fourth Proportional to 6,300.84, 8,698.14 and 4,206.36

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Solution

The fourth proportional to 6,300.84, 8,698.14 and 4,206.36 is: 5,806.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,300.84 : 8,698.14 = 4,206.36 : x
  2. Step 2: Convert to fraction form
    6,300.84/8,698.14 = 4,206.36/x
  3. Step 3: Cross multiply
    6,300.84x = 8,698.14 × 4,206.36
  4. Step 4: Simplify right side
    6,300.84x = 36,587,508.17
  5. Step 5: Solve for x
    x = 36,587,508.17/6,300.84
  6. Step 6: Final answer
    x = 5,806.77

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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.