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Finding the Fourth Proportional to 9,760.79, 14,642.76 and 4,215.84

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Solution

The fourth proportional to 9,760.79, 14,642.76 and 4,215.84 is: 6,324.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.79 : 14,642.76 = 4,215.84 : x
  2. Step 2: Convert to fraction form
    9,760.79/14,642.76 = 4,215.84/x
  3. Step 3: Cross multiply
    9,760.79x = 14,642.76 × 4,215.84
  4. Step 4: Simplify right side
    9,760.79x = 61,731,533.32
  5. Step 5: Solve for x
    x = 61,731,533.32/9,760.79
  6. Step 6: Final answer
    x = 6,324.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.