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Finding the Fourth Proportional to 9,342.01, 12,892.88 and 6,980.05

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Solution

The fourth proportional to 9,342.01, 12,892.88 and 6,980.05 is: 9,633.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342.01 : 12,892.88 = 6,980.05 : x
  2. Step 2: Convert to fraction form
    9,342.01/12,892.88 = 6,980.05/x
  3. Step 3: Cross multiply
    9,342.01x = 12,892.88 × 6,980.05
  4. Step 4: Simplify right side
    9,342.01x = 89,992,947.04
  5. Step 5: Solve for x
    x = 89,992,947.04/9,342.01
  6. Step 6: Final answer
    x = 9,633.15

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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.