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Finding the Fourth Proportional to 9,643.12, 14,465.32 and 3,803.83

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Solution

The fourth proportional to 9,643.12, 14,465.32 and 3,803.83 is: 5,705.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.12 : 14,465.32 = 3,803.83 : x
  2. Step 2: Convert to fraction form
    9,643.12/14,465.32 = 3,803.83/x
  3. Step 3: Cross multiply
    9,643.12x = 14,465.32 × 3,803.83
  4. Step 4: Simplify right side
    9,643.12x = 55,023,572.50
  5. Step 5: Solve for x
    x = 55,023,572.50/9,643.12
  6. Step 6: Final answer
    x = 5,705.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.