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Finding the Fourth Proportional to 9,597.57, 14,400.47 and 5,218.17

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Solution

The fourth proportional to 9,597.57, 14,400.47 and 5,218.17 is: 7,829.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.57 : 14,400.47 = 5,218.17 : x
  2. Step 2: Convert to fraction form
    9,597.57/14,400.47 = 5,218.17/x
  3. Step 3: Cross multiply
    9,597.57x = 14,400.47 × 5,218.17
  4. Step 4: Simplify right side
    9,597.57x = 75,144,100.54
  5. Step 5: Solve for x
    x = 75,144,100.54/9,597.57
  6. Step 6: Final answer
    x = 7,829.49

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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.