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Finding the Fourth Proportional to 9,775.90, 14,663.88 and 2,380.38

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Solution

The fourth proportional to 9,775.90, 14,663.88 and 2,380.38 is: 3,570.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.90 : 14,663.88 = 2,380.38 : x
  2. Step 2: Convert to fraction form
    9,775.90/14,663.88 = 2,380.38/x
  3. Step 3: Cross multiply
    9,775.90x = 14,663.88 × 2,380.38
  4. Step 4: Simplify right side
    9,775.90x = 34,905,606.67
  5. Step 5: Solve for x
    x = 34,905,606.67/9,775.90
  6. Step 6: Final answer
    x = 3,570.58

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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.