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Finding the Fourth Proportional to 9,695.94, 14,546.15 and 3,032.06

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Solution

The fourth proportional to 9,695.94, 14,546.15 and 3,032.06 is: 4,548.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.94 : 14,546.15 = 3,032.06 : x
  2. Step 2: Convert to fraction form
    9,695.94/14,546.15 = 3,032.06/x
  3. Step 3: Cross multiply
    9,695.94x = 14,546.15 × 3,032.06
  4. Step 4: Simplify right side
    9,695.94x = 44,104,799.57
  5. Step 5: Solve for x
    x = 44,104,799.57/9,695.94
  6. Step 6: Final answer
    x = 4,548.79

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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.