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Finding the Fourth Proportional to 9,564.32, 14,346.88 and 2,990.64

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Solution

The fourth proportional to 9,564.32, 14,346.88 and 2,990.64 is: 4,486.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.32 : 14,346.88 = 2,990.64 : x
  2. Step 2: Convert to fraction form
    9,564.32/14,346.88 = 2,990.64/x
  3. Step 3: Cross multiply
    9,564.32x = 14,346.88 × 2,990.64
  4. Step 4: Simplify right side
    9,564.32x = 42,906,353.20
  5. Step 5: Solve for x
    x = 42,906,353.20/9,564.32
  6. Step 6: Final answer
    x = 4,486.09

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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.