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Finding the Fourth Proportional to 9,774.90, 14,662.38 and 2,379.36

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Solution

The fourth proportional to 9,774.90, 14,662.38 and 2,379.36 is: 3,569.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.90 : 14,662.38 = 2,379.36 : x
  2. Step 2: Convert to fraction form
    9,774.90/14,662.38 = 2,379.36/x
  3. Step 3: Cross multiply
    9,774.90x = 14,662.38 × 2,379.36
  4. Step 4: Simplify right side
    9,774.90x = 34,887,080.48
  5. Step 5: Solve for x
    x = 34,887,080.48/9,774.90
  6. Step 6: Final answer
    x = 3,569.05

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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.