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Finding the Fourth Proportional to 9,591.64, 14,388.28 and 2,929.64

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Solution

The fourth proportional to 9,591.64, 14,388.28 and 2,929.64 is: 4,394.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,591.64 : 14,388.28 = 2,929.64 : x
  2. Step 2: Convert to fraction form
    9,591.64/14,388.28 = 2,929.64/x
  3. Step 3: Cross multiply
    9,591.64x = 14,388.28 × 2,929.64
  4. Step 4: Simplify right side
    9,591.64x = 42,152,401.35
  5. Step 5: Solve for x
    x = 42,152,401.35/9,591.64
  6. Step 6: Final answer
    x = 4,394.70

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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.