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Finding the Fourth Proportional to 9,851.40, 14,779.85 and 5,471.93

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Solution

The fourth proportional to 9,851.40, 14,779.85 and 5,471.93 is: 8,209.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.40 : 14,779.85 = 5,471.93 : x
  2. Step 2: Convert to fraction form
    9,851.40/14,779.85 = 5,471.93/x
  3. Step 3: Cross multiply
    9,851.40x = 14,779.85 × 5,471.93
  4. Step 4: Simplify right side
    9,851.40x = 80,874,277.25
  5. Step 5: Solve for x
    x = 80,874,277.25/9,851.40
  6. Step 6: Final answer
    x = 8,209.42

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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.