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Finding the Fourth Proportional to 9,793.28, 14,690.40 and 3,130.52

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Solution

The fourth proportional to 9,793.28, 14,690.40 and 3,130.52 is: 4,695.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.28 : 14,690.40 = 3,130.52 : x
  2. Step 2: Convert to fraction form
    9,793.28/14,690.40 = 3,130.52/x
  3. Step 3: Cross multiply
    9,793.28x = 14,690.40 × 3,130.52
  4. Step 4: Simplify right side
    9,793.28x = 45,988,591.01
  5. Step 5: Solve for x
    x = 45,988,591.01/9,793.28
  6. Step 6: Final answer
    x = 4,695.93

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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.