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Finding the Fourth Proportional to 9,485.91, 14,191.61 and 8,377.83

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Solution

The fourth proportional to 9,485.91, 14,191.61 and 8,377.83 is: 12,533.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,485.91 : 14,191.61 = 8,377.83 : x
  2. Step 2: Convert to fraction form
    9,485.91/14,191.61 = 8,377.83/x
  3. Step 3: Cross multiply
    9,485.91x = 14,191.61 × 8,377.83
  4. Step 4: Simplify right side
    9,485.91x = 118,894,854.12
  5. Step 5: Solve for x
    x = 118,894,854.12/9,485.91
  6. Step 6: Final answer
    x = 12,533.84

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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.