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Finding the Fourth Proportional to 9,770.95, 14,656.30 and 2,375.39

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Solution

The fourth proportional to 9,770.95, 14,656.30 and 2,375.39 is: 3,563.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.95 : 14,656.30 = 2,375.39 : x
  2. Step 2: Convert to fraction form
    9,770.95/14,656.30 = 2,375.39/x
  3. Step 3: Cross multiply
    9,770.95x = 14,656.30 × 2,375.39
  4. Step 4: Simplify right side
    9,770.95x = 34,814,428.46
  5. Step 5: Solve for x
    x = 34,814,428.46/9,770.95
  6. Step 6: Final answer
    x = 3,563.05

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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.