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Finding the Fourth Proportional to 9,315.31, 12,855.30 and 5,066.47

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Solution

The fourth proportional to 9,315.31, 12,855.30 and 5,066.47 is: 6,991.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,315.31 : 12,855.30 = 5,066.47 : x
  2. Step 2: Convert to fraction form
    9,315.31/12,855.30 = 5,066.47/x
  3. Step 3: Cross multiply
    9,315.31x = 12,855.30 × 5,066.47
  4. Step 4: Simplify right side
    9,315.31x = 65,130,952.57
  5. Step 5: Solve for x
    x = 65,130,952.57/9,315.31
  6. Step 6: Final answer
    x = 6,991.82

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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.