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Finding the Fourth Proportional to 9,779.60, 14,670.84 and 3,204.56

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Solution

The fourth proportional to 9,779.60, 14,670.84 and 3,204.56 is: 4,807.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.60 : 14,670.84 = 3,204.56 : x
  2. Step 2: Convert to fraction form
    9,779.60/14,670.84 = 3,204.56/x
  3. Step 3: Cross multiply
    9,779.60x = 14,670.84 × 3,204.56
  4. Step 4: Simplify right side
    9,779.60x = 47,013,587.03
  5. Step 5: Solve for x
    x = 47,013,587.03/9,779.60
  6. Step 6: Final answer
    x = 4,807.31

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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.