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Finding the Fourth Proportional to 9,304.64, 13,958.67 and 3,065.02

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Solution

The fourth proportional to 9,304.64, 13,958.67 and 3,065.02 is: 4,598.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,304.64 : 13,958.67 = 3,065.02 : x
  2. Step 2: Convert to fraction form
    9,304.64/13,958.67 = 3,065.02/x
  3. Step 3: Cross multiply
    9,304.64x = 13,958.67 × 3,065.02
  4. Step 4: Simplify right side
    9,304.64x = 42,783,602.72
  5. Step 5: Solve for x
    x = 42,783,602.72/9,304.64
  6. Step 6: Final answer
    x = 4,598.09

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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.