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Finding the Fourth Proportional to 9,168.99, 13,711.46 and 6,830.61

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Solution

The fourth proportional to 9,168.99, 13,711.46 and 6,830.61 is: 10,214.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,168.99 : 13,711.46 = 6,830.61 : x
  2. Step 2: Convert to fraction form
    9,168.99/13,711.46 = 6,830.61/x
  3. Step 3: Cross multiply
    9,168.99x = 13,711.46 × 6,830.61
  4. Step 4: Simplify right side
    9,168.99x = 93,657,533.08
  5. Step 5: Solve for x
    x = 93,657,533.08/9,168.99
  6. Step 6: Final answer
    x = 10,214.60

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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.