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Finding the Fourth Proportional to 9,040.84, 12,470.08 and 7,693

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Solution

The fourth proportional to 9,040.84, 12,470.08 and 7,693 is: 10,611.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,040.84 : 12,470.08 = 7,693 : x
  2. Step 2: Convert to fraction form
    9,040.84/12,470.08 = 7,693/x
  3. Step 3: Cross multiply
    9,040.84x = 12,470.08 × 7,693
  4. Step 4: Simplify right side
    9,040.84x = 95,932,325.44
  5. Step 5: Solve for x
    x = 95,932,325.44/9,040.84
  6. Step 6: Final answer
    x = 10,611.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.