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Finding the Fourth Proportional to 9,520.64, 13,133.95 and 6,335.42

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Solution

The fourth proportional to 9,520.64, 13,133.95 and 6,335.42 is: 8,739.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,520.64 : 13,133.95 = 6,335.42 : x
  2. Step 2: Convert to fraction form
    9,520.64/13,133.95 = 6,335.42/x
  3. Step 3: Cross multiply
    9,520.64x = 13,133.95 × 6,335.42
  4. Step 4: Simplify right side
    9,520.64x = 83,209,008.00
  5. Step 5: Solve for x
    x = 83,209,008.00/9,520.64
  6. Step 6: Final answer
    x = 8,739.86

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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.