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Finding the Fourth Proportional to 9,934.40, 14,896.77 and 5,775.60

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Solution

The fourth proportional to 9,934.40, 14,896.77 and 5,775.60 is: 8,660.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934.40 : 14,896.77 = 5,775.60 : x
  2. Step 2: Convert to fraction form
    9,934.40/14,896.77 = 5,775.60/x
  3. Step 3: Cross multiply
    9,934.40x = 14,896.77 × 5,775.60
  4. Step 4: Simplify right side
    9,934.40x = 86,037,784.81
  5. Step 5: Solve for x
    x = 86,037,784.81/9,934.40
  6. Step 6: Final answer
    x = 8,660.60

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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.