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Finding the Fourth Proportional to 9,765.76, 14,624 and 6,468.88

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Solution

The fourth proportional to 9,765.76, 14,624 and 6,468.88 is: 9,687.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.76 : 14,624 = 6,468.88 : x
  2. Step 2: Convert to fraction form
    9,765.76/14,624 = 6,468.88/x
  3. Step 3: Cross multiply
    9,765.76x = 14,624 × 6,468.88
  4. Step 4: Simplify right side
    9,765.76x = 94,600,901.12
  5. Step 5: Solve for x
    x = 94,600,901.12/9,765.76
  6. Step 6: Final answer
    x = 9,687.00

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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.