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Finding the Fourth Proportional to 9,894.08, 14,830.87 and 6,187.80

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Solution

The fourth proportional to 9,894.08, 14,830.87 and 6,187.80 is: 9,275.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.08 : 14,830.87 = 6,187.80 : x
  2. Step 2: Convert to fraction form
    9,894.08/14,830.87 = 6,187.80/x
  3. Step 3: Cross multiply
    9,894.08x = 14,830.87 × 6,187.80
  4. Step 4: Simplify right side
    9,894.08x = 91,770,457.39
  5. Step 5: Solve for x
    x = 91,770,457.39/9,894.08
  6. Step 6: Final answer
    x = 9,275.29

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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.