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Finding the Fourth Proportional to 9,774.11, 13,494.74 and 6,054.59

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Solution

The fourth proportional to 9,774.11, 13,494.74 and 6,054.59 is: 8,359.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.11 : 13,494.74 = 6,054.59 : x
  2. Step 2: Convert to fraction form
    9,774.11/13,494.74 = 6,054.59/x
  3. Step 3: Cross multiply
    9,774.11x = 13,494.74 × 6,054.59
  4. Step 4: Simplify right side
    9,774.11x = 81,705,020.11
  5. Step 5: Solve for x
    x = 81,705,020.11/9,774.11
  6. Step 6: Final answer
    x = 8,359.34

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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.