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Finding the Fourth Proportional to 9,664.79, 14,477.95 and 6,367.88

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Solution

The fourth proportional to 9,664.79, 14,477.95 and 6,367.88 is: 9,539.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.79 : 14,477.95 = 6,367.88 : x
  2. Step 2: Convert to fraction form
    9,664.79/14,477.95 = 6,367.88/x
  3. Step 3: Cross multiply
    9,664.79x = 14,477.95 × 6,367.88
  4. Step 4: Simplify right side
    9,664.79x = 92,193,892.40
  5. Step 5: Solve for x
    x = 92,193,892.40/9,664.79
  6. Step 6: Final answer
    x = 9,539.16

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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.