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Finding the Fourth Proportional to 9,779.32, 14,683.56 and 6,863.32

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Solution

The fourth proportional to 9,779.32, 14,683.56 and 6,863.32 is: 10,305.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.32 : 14,683.56 = 6,863.32 : x
  2. Step 2: Convert to fraction form
    9,779.32/14,683.56 = 6,863.32/x
  3. Step 3: Cross multiply
    9,779.32x = 14,683.56 × 6,863.32
  4. Step 4: Simplify right side
    9,779.32x = 100,777,971.02
  5. Step 5: Solve for x
    x = 100,777,971.02/9,779.32
  6. Step 6: Final answer
    x = 10,305.21

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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.