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Finding the Fourth Proportional to 6,698.22, 9,255.02 and 6,461.70

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Solution

The fourth proportional to 6,698.22, 9,255.02 and 6,461.70 is: 8,928.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.22 : 9,255.02 = 6,461.70 : x
  2. Step 2: Convert to fraction form
    6,698.22/9,255.02 = 6,461.70/x
  3. Step 3: Cross multiply
    6,698.22x = 9,255.02 × 6,461.70
  4. Step 4: Simplify right side
    6,698.22x = 59,803,162.73
  5. Step 5: Solve for x
    x = 59,803,162.73/6,698.22
  6. Step 6: Final answer
    x = 8,928.22

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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.