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Finding the Fourth Proportional to 9,474.66, 14,208.03 and 4,543.14

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Solution

The fourth proportional to 9,474.66, 14,208.03 and 4,543.14 is: 6,812.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.66 : 14,208.03 = 4,543.14 : x
  2. Step 2: Convert to fraction form
    9,474.66/14,208.03 = 4,543.14/x
  3. Step 3: Cross multiply
    9,474.66x = 14,208.03 × 4,543.14
  4. Step 4: Simplify right side
    9,474.66x = 64,549,069.41
  5. Step 5: Solve for x
    x = 64,549,069.41/9,474.66
  6. Step 6: Final answer
    x = 6,812.81

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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.