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Finding the Fourth Proportional to 9,903.63, 14,854.56 and 3,663.70

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Solution

The fourth proportional to 9,903.63, 14,854.56 and 3,663.70 is: 5,495.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,903.63 : 14,854.56 = 3,663.70 : x
  2. Step 2: Convert to fraction form
    9,903.63/14,854.56 = 3,663.70/x
  3. Step 3: Cross multiply
    9,903.63x = 14,854.56 × 3,663.70
  4. Step 4: Simplify right side
    9,903.63x = 54,422,600.60
  5. Step 5: Solve for x
    x = 54,422,600.60/9,903.63
  6. Step 6: Final answer
    x = 5,495.22

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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.