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Finding the Fourth Proportional to 9,646.95, 14,462.85 and 3,807.93

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Solution

The fourth proportional to 9,646.95, 14,462.85 and 3,807.93 is: 5,708.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.95 : 14,462.85 = 3,807.93 : x
  2. Step 2: Convert to fraction form
    9,646.95/14,462.85 = 3,807.93/x
  3. Step 3: Cross multiply
    9,646.95x = 14,462.85 × 3,807.93
  4. Step 4: Simplify right side
    9,646.95x = 55,073,520.40
  5. Step 5: Solve for x
    x = 55,073,520.40/9,646.95
  6. Step 6: Final answer
    x = 5,708.90

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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.