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Finding the Fourth Proportional to 9,767.76, 14,627 and 6,470.88

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Solution

The fourth proportional to 9,767.76, 14,627 and 6,470.88 is: 9,690.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.76 : 14,627 = 6,470.88 : x
  2. Step 2: Convert to fraction form
    9,767.76/14,627 = 6,470.88/x
  3. Step 3: Cross multiply
    9,767.76x = 14,627 × 6,470.88
  4. Step 4: Simplify right side
    9,767.76x = 94,649,561.76
  5. Step 5: Solve for x
    x = 94,649,561.76/9,767.76
  6. Step 6: Final answer
    x = 9,690.00

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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.