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Finding the Fourth Proportional to 9,643.55, 14,465.15 and 3,069.65

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Solution

The fourth proportional to 9,643.55, 14,465.15 and 3,069.65 is: 4,604.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.55 : 14,465.15 = 3,069.65 : x
  2. Step 2: Convert to fraction form
    9,643.55/14,465.15 = 3,069.65/x
  3. Step 3: Cross multiply
    9,643.55x = 14,465.15 × 3,069.65
  4. Step 4: Simplify right side
    9,643.55x = 44,402,980.02
  5. Step 5: Solve for x
    x = 44,402,980.02/9,643.55
  6. Step 6: Final answer
    x = 4,604.43

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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.