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Finding the Fourth Proportional to 9,866.96, 14,800.32 and 2,941.52

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Solution

The fourth proportional to 9,866.96, 14,800.32 and 2,941.52 is: 4,412.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.96 : 14,800.32 = 2,941.52 : x
  2. Step 2: Convert to fraction form
    9,866.96/14,800.32 = 2,941.52/x
  3. Step 3: Cross multiply
    9,866.96x = 14,800.32 × 2,941.52
  4. Step 4: Simplify right side
    9,866.96x = 43,535,437.29
  5. Step 5: Solve for x
    x = 43,535,437.29/9,866.96
  6. Step 6: Final answer
    x = 4,412.24

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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.