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Finding the Fourth Proportional to 9,434.00, 13,023.63 and 7,304.78

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Solution

The fourth proportional to 9,434.00, 13,023.63 and 7,304.78 is: 10,084.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,434.00 : 13,023.63 = 7,304.78 : x
  2. Step 2: Convert to fraction form
    9,434.00/13,023.63 = 7,304.78/x
  3. Step 3: Cross multiply
    9,434.00x = 13,023.63 × 7,304.78
  4. Step 4: Simplify right side
    9,434.00x = 95,134,686.83
  5. Step 5: Solve for x
    x = 95,134,686.83/9,434.00
  6. Step 6: Final answer
    x = 10,084.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.