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Finding the Fourth Proportional to 9,775.96, 14,660.28 and 3,930.58

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Solution

The fourth proportional to 9,775.96, 14,660.28 and 3,930.58 is: 5,894.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.96 : 14,660.28 = 3,930.58 : x
  2. Step 2: Convert to fraction form
    9,775.96/14,660.28 = 3,930.58/x
  3. Step 3: Cross multiply
    9,775.96x = 14,660.28 × 3,930.58
  4. Step 4: Simplify right side
    9,775.96x = 57,623,403.36
  5. Step 5: Solve for x
    x = 57,623,403.36/9,775.96
  6. Step 6: Final answer
    x = 5,894.40

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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.