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Finding the Fourth Proportional to 9,116.94, 13,679.73 and 4,956.78

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Solution

The fourth proportional to 9,116.94, 13,679.73 and 4,956.78 is: 7,437.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.94 : 13,679.73 = 4,956.78 : x
  2. Step 2: Convert to fraction form
    9,116.94/13,679.73 = 4,956.78/x
  3. Step 3: Cross multiply
    9,116.94x = 13,679.73 × 4,956.78
  4. Step 4: Simplify right side
    9,116.94x = 67,807,412.07
  5. Step 5: Solve for x
    x = 67,807,412.07/9,116.94
  6. Step 6: Final answer
    x = 7,437.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.