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Finding the Fourth Proportional to 9,543.55, 14,316.92 and 2,968.42

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Solution

The fourth proportional to 9,543.55, 14,316.92 and 2,968.42 is: 4,453.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,543.55 : 14,316.92 = 2,968.42 : x
  2. Step 2: Convert to fraction form
    9,543.55/14,316.92 = 2,968.42/x
  3. Step 3: Cross multiply
    9,543.55x = 14,316.92 × 2,968.42
  4. Step 4: Simplify right side
    9,543.55x = 42,498,631.67
  5. Step 5: Solve for x
    x = 42,498,631.67/9,543.55
  6. Step 6: Final answer
    x = 4,453.13

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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.