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Finding the Fourth Proportional to 9,597.11, 14,397.62 and 4,050.45

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Solution

The fourth proportional to 9,597.11, 14,397.62 and 4,050.45 is: 6,076.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.11 : 14,397.62 = 4,050.45 : x
  2. Step 2: Convert to fraction form
    9,597.11/14,397.62 = 4,050.45/x
  3. Step 3: Cross multiply
    9,597.11x = 14,397.62 × 4,050.45
  4. Step 4: Simplify right side
    9,597.11x = 58,316,819.68
  5. Step 5: Solve for x
    x = 58,316,819.68/9,597.11
  6. Step 6: Final answer
    x = 6,076.50

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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.