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Finding the Fourth Proportional to 9,779.10, 14,632.23 and 5,832.51

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Solution

The fourth proportional to 9,779.10, 14,632.23 and 5,832.51 is: 8,727.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.10 : 14,632.23 = 5,832.51 : x
  2. Step 2: Convert to fraction form
    9,779.10/14,632.23 = 5,832.51/x
  3. Step 3: Cross multiply
    9,779.10x = 14,632.23 × 5,832.51
  4. Step 4: Simplify right side
    9,779.10x = 85,342,627.80
  5. Step 5: Solve for x
    x = 85,342,627.80/9,779.10
  6. Step 6: Final answer
    x = 8,727.04

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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.