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Finding the Fourth Proportional to 9,779.96, 14,671.47 and 3,539.31

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Solution

The fourth proportional to 9,779.96, 14,671.47 and 3,539.31 is: 5,309.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.96 : 14,671.47 = 3,539.31 : x
  2. Step 2: Convert to fraction form
    9,779.96/14,671.47 = 3,539.31/x
  3. Step 3: Cross multiply
    9,779.96x = 14,671.47 × 3,539.31
  4. Step 4: Simplify right side
    9,779.96x = 51,926,880.49
  5. Step 5: Solve for x
    x = 51,926,880.49/9,779.96
  6. Step 6: Final answer
    x = 5,309.52

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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.