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Finding the Fourth Proportional to 9,355.96, 14,031.78 and 4,159

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Solution

The fourth proportional to 9,355.96, 14,031.78 and 4,159 is: 6,237.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,355.96 : 14,031.78 = 4,159 : x
  2. Step 2: Convert to fraction form
    9,355.96/14,031.78 = 4,159/x
  3. Step 3: Cross multiply
    9,355.96x = 14,031.78 × 4,159
  4. Step 4: Simplify right side
    9,355.96x = 58,358,173.02
  5. Step 5: Solve for x
    x = 58,358,173.02/9,355.96
  6. Step 6: Final answer
    x = 6,237.54

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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.