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Finding the Fourth Proportional to 9,756.68, 14,620.24 and 6,457.96

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Solution

The fourth proportional to 9,756.68, 14,620.24 and 6,457.96 is: 9,677.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.68 : 14,620.24 = 6,457.96 : x
  2. Step 2: Convert to fraction form
    9,756.68/14,620.24 = 6,457.96/x
  3. Step 3: Cross multiply
    9,756.68x = 14,620.24 × 6,457.96
  4. Step 4: Simplify right side
    9,756.68x = 94,416,819.72
  5. Step 5: Solve for x
    x = 94,416,819.72/9,756.68
  6. Step 6: Final answer
    x = 9,677.15

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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.