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Finding the Fourth Proportional to 9,305.64, 13,959.32 and 3,065.68

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Solution

The fourth proportional to 9,305.64, 13,959.32 and 3,065.68 is: 4,598.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.64 : 13,959.32 = 3,065.68 : x
  2. Step 2: Convert to fraction form
    9,305.64/13,959.32 = 3,065.68/x
  3. Step 3: Cross multiply
    9,305.64x = 13,959.32 × 3,065.68
  4. Step 4: Simplify right side
    9,305.64x = 42,794,808.14
  5. Step 5: Solve for x
    x = 42,794,808.14/9,305.64
  6. Step 6: Final answer
    x = 4,598.80

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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.