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Finding the Fourth Proportional to 9,773.99, 14,660.93 and 2,378.45

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Solution

The fourth proportional to 9,773.99, 14,660.93 and 2,378.45 is: 3,567.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.99 : 14,660.93 = 2,378.45 : x
  2. Step 2: Convert to fraction form
    9,773.99/14,660.93 = 2,378.45/x
  3. Step 3: Cross multiply
    9,773.99x = 14,660.93 × 2,378.45
  4. Step 4: Simplify right side
    9,773.99x = 34,870,203.76
  5. Step 5: Solve for x
    x = 34,870,203.76/9,773.99
  6. Step 6: Final answer
    x = 3,567.65

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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.