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Finding the Fourth Proportional to 9,646.56, 14,472 and 5,261.76

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Solution

The fourth proportional to 9,646.56, 14,472 and 5,261.76 is: 7,893.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.56 : 14,472 = 5,261.76 : x
  2. Step 2: Convert to fraction form
    9,646.56/14,472 = 5,261.76/x
  3. Step 3: Cross multiply
    9,646.56x = 14,472 × 5,261.76
  4. Step 4: Simplify right side
    9,646.56x = 76,148,190.72
  5. Step 5: Solve for x
    x = 76,148,190.72/9,646.56
  6. Step 6: Final answer
    x = 7,893.82

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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.