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Finding the Fourth Proportional to 9,543.54, 14,316.68 and 2,970.26

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Solution

The fourth proportional to 9,543.54, 14,316.68 and 2,970.26 is: 4,455.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,543.54 : 14,316.68 = 2,970.26 : x
  2. Step 2: Convert to fraction form
    9,543.54/14,316.68 = 2,970.26/x
  3. Step 3: Cross multiply
    9,543.54x = 14,316.68 × 2,970.26
  4. Step 4: Simplify right side
    9,543.54x = 42,524,175.50
  5. Step 5: Solve for x
    x = 42,524,175.50/9,543.54
  6. Step 6: Final answer
    x = 4,455.81

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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.