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Finding the Fourth Proportional to 9,597.29, 14,398.53 and 2,933.60

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Solution

The fourth proportional to 9,597.29, 14,398.53 and 2,933.60 is: 4,401.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.29 : 14,398.53 = 2,933.60 : x
  2. Step 2: Convert to fraction form
    9,597.29/14,398.53 = 2,933.60/x
  3. Step 3: Cross multiply
    9,597.29x = 14,398.53 × 2,933.60
  4. Step 4: Simplify right side
    9,597.29x = 42,239,525.61
  5. Step 5: Solve for x
    x = 42,239,525.61/9,597.29
  6. Step 6: Final answer
    x = 4,401.20

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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.