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Finding the Fourth Proportional to 9,470.64, 14,205.84 and 3,235.08

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Solution

The fourth proportional to 9,470.64, 14,205.84 and 3,235.08 is: 4,852.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.64 : 14,205.84 = 3,235.08 : x
  2. Step 2: Convert to fraction form
    9,470.64/14,205.84 = 3,235.08/x
  3. Step 3: Cross multiply
    9,470.64x = 14,205.84 × 3,235.08
  4. Step 4: Simplify right side
    9,470.64x = 45,957,028.87
  5. Step 5: Solve for x
    x = 45,957,028.87/9,470.64
  6. Step 6: Final answer
    x = 4,852.58

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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.