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Finding the Fourth Proportional to 9,854.19, 14,782.30 and 3,190.19

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Solution

The fourth proportional to 9,854.19, 14,782.30 and 3,190.19 is: 4,785.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.19 : 14,782.30 = 3,190.19 : x
  2. Step 2: Convert to fraction form
    9,854.19/14,782.30 = 3,190.19/x
  3. Step 3: Cross multiply
    9,854.19x = 14,782.30 × 3,190.19
  4. Step 4: Simplify right side
    9,854.19x = 47,158,263.75
  5. Step 5: Solve for x
    x = 47,158,263.75/9,854.19
  6. Step 6: Final answer
    x = 4,785.61

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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.