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Finding the Fourth Proportional to 9,478.95, 14,188.43 and 5,956.77

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Solution

The fourth proportional to 9,478.95, 14,188.43 and 5,956.77 is: 8,916.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.95 : 14,188.43 = 5,956.77 : x
  2. Step 2: Convert to fraction form
    9,478.95/14,188.43 = 5,956.77/x
  3. Step 3: Cross multiply
    9,478.95x = 14,188.43 × 5,956.77
  4. Step 4: Simplify right side
    9,478.95x = 84,517,205.05
  5. Step 5: Solve for x
    x = 84,517,205.05/9,478.95
  6. Step 6: Final answer
    x = 8,916.31

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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.