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Finding the Fourth Proportional to 9,903.56, 14,856 and 3,663.42

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Solution

The fourth proportional to 9,903.56, 14,856 and 3,663.42 is: 5,495.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,903.56 : 14,856 = 3,663.42 : x
  2. Step 2: Convert to fraction form
    9,903.56/14,856 = 3,663.42/x
  3. Step 3: Cross multiply
    9,903.56x = 14,856 × 3,663.42
  4. Step 4: Simplify right side
    9,903.56x = 54,423,767.52
  5. Step 5: Solve for x
    x = 54,423,767.52/9,903.56
  6. Step 6: Final answer
    x = 5,495.37

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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.