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Finding the Fourth Proportional to 9,790.64, 14,671.70 and 4,527.26

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Solution

The fourth proportional to 9,790.64, 14,671.70 and 4,527.26 is: 6,784.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790.64 : 14,671.70 = 4,527.26 : x
  2. Step 2: Convert to fraction form
    9,790.64/14,671.70 = 4,527.26/x
  3. Step 3: Cross multiply
    9,790.64x = 14,671.70 × 4,527.26
  4. Step 4: Simplify right side
    9,790.64x = 66,422,600.54
  5. Step 5: Solve for x
    x = 66,422,600.54/9,790.64
  6. Step 6: Final answer
    x = 6,784.30

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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.