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Finding the Fourth Proportional to 9,775.29, 14,662.81 and 2,379.76

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Solution

The fourth proportional to 9,775.29, 14,662.81 and 2,379.76 is: 3,569.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.29 : 14,662.81 = 2,379.76 : x
  2. Step 2: Convert to fraction form
    9,775.29/14,662.81 = 2,379.76/x
  3. Step 3: Cross multiply
    9,775.29x = 14,662.81 × 2,379.76
  4. Step 4: Simplify right side
    9,775.29x = 34,893,895.41
  5. Step 5: Solve for x
    x = 34,893,895.41/9,775.29
  6. Step 6: Final answer
    x = 3,569.60

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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.