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Finding the Fourth Proportional to 9,774.79, 14,662.06 and 2,379.26

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Solution

The fourth proportional to 9,774.79, 14,662.06 and 2,379.26 is: 3,568.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.79 : 14,662.06 = 2,379.26 : x
  2. Step 2: Convert to fraction form
    9,774.79/14,662.06 = 2,379.26/x
  3. Step 3: Cross multiply
    9,774.79x = 14,662.06 × 2,379.26
  4. Step 4: Simplify right side
    9,774.79x = 34,884,779.57
  5. Step 5: Solve for x
    x = 34,884,779.57/9,774.79
  6. Step 6: Final answer
    x = 3,568.85

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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.