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Finding the Fourth Proportional to 9,774.98, 14,662.45 and 2,379.36

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Solution

The fourth proportional to 9,774.98, 14,662.45 and 2,379.36 is: 3,569.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.98 : 14,662.45 = 2,379.36 : x
  2. Step 2: Convert to fraction form
    9,774.98/14,662.45 = 2,379.36/x
  3. Step 3: Cross multiply
    9,774.98x = 14,662.45 × 2,379.36
  4. Step 4: Simplify right side
    9,774.98x = 34,887,247.03
  5. Step 5: Solve for x
    x = 34,887,247.03/9,774.98
  6. Step 6: Final answer
    x = 3,569.04

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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.