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Finding the Fourth Proportional to 9,876.64, 14,811.28 and 3,301.44

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Solution

The fourth proportional to 9,876.64, 14,811.28 and 3,301.44 is: 4,950.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.64 : 14,811.28 = 3,301.44 : x
  2. Step 2: Convert to fraction form
    9,876.64/14,811.28 = 3,301.44/x
  3. Step 3: Cross multiply
    9,876.64x = 14,811.28 × 3,301.44
  4. Step 4: Simplify right side
    9,876.64x = 48,898,552.24
  5. Step 5: Solve for x
    x = 48,898,552.24/9,876.64
  6. Step 6: Final answer
    x = 4,950.93

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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.