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Finding the Fourth Proportional to 9,415.65, 12,995.06 and 6,771.81

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Solution

The fourth proportional to 9,415.65, 12,995.06 and 6,771.81 is: 9,346.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.65 : 12,995.06 = 6,771.81 : x
  2. Step 2: Convert to fraction form
    9,415.65/12,995.06 = 6,771.81/x
  3. Step 3: Cross multiply
    9,415.65x = 12,995.06 × 6,771.81
  4. Step 4: Simplify right side
    9,415.65x = 88,000,043.40
  5. Step 5: Solve for x
    x = 88,000,043.40/9,415.65
  6. Step 6: Final answer
    x = 9,346.15

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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.