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Finding the Fourth Proportional to 9,775.79, 14,663.56 and 2,380.26

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Solution

The fourth proportional to 9,775.79, 14,663.56 and 2,380.26 is: 3,570.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.79 : 14,663.56 = 2,380.26 : x
  2. Step 2: Convert to fraction form
    9,775.79/14,663.56 = 2,380.26/x
  3. Step 3: Cross multiply
    9,775.79x = 14,663.56 × 2,380.26
  4. Step 4: Simplify right side
    9,775.79x = 34,903,085.33
  5. Step 5: Solve for x
    x = 34,903,085.33/9,775.79
  6. Step 6: Final answer
    x = 3,570.36

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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.