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Finding the Fourth Proportional to 9,604.83, 14,401.53 and 4,669.50

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Solution

The fourth proportional to 9,604.83, 14,401.53 and 4,669.50 is: 7,001.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.83 : 14,401.53 = 4,669.50 : x
  2. Step 2: Convert to fraction form
    9,604.83/14,401.53 = 4,669.50/x
  3. Step 3: Cross multiply
    9,604.83x = 14,401.53 × 4,669.50
  4. Step 4: Simplify right side
    9,604.83x = 67,247,944.34
  5. Step 5: Solve for x
    x = 67,247,944.34/9,604.83
  6. Step 6: Final answer
    x = 7,001.47

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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.