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Finding the Fourth Proportional to 9,503.19, 14,250.66 and 3,655.70

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Solution

The fourth proportional to 9,503.19, 14,250.66 and 3,655.70 is: 5,481.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.19 : 14,250.66 = 3,655.70 : x
  2. Step 2: Convert to fraction form
    9,503.19/14,250.66 = 3,655.70/x
  3. Step 3: Cross multiply
    9,503.19x = 14,250.66 × 3,655.70
  4. Step 4: Simplify right side
    9,503.19x = 52,096,066.51
  5. Step 5: Solve for x
    x = 52,096,066.51/9,503.19
  6. Step 6: Final answer
    x = 5,481.96

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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.