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Finding the Fourth Proportional to 9,643.71, 14,465.40 and 3,069.82

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Solution

The fourth proportional to 9,643.71, 14,465.40 and 3,069.82 is: 4,604.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.71 : 14,465.40 = 3,069.82 : x
  2. Step 2: Convert to fraction form
    9,643.71/14,465.40 = 3,069.82/x
  3. Step 3: Cross multiply
    9,643.71x = 14,465.40 × 3,069.82
  4. Step 4: Simplify right side
    9,643.71x = 44,406,174.23
  5. Step 5: Solve for x
    x = 44,406,174.23/9,643.71
  6. Step 6: Final answer
    x = 4,604.68

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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.