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Finding the Fourth Proportional to 9,443.68, 14,157.80 and 5,788

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Solution

The fourth proportional to 9,443.68, 14,157.80 and 5,788 is: 8,677.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,443.68 : 14,157.80 = 5,788 : x
  2. Step 2: Convert to fraction form
    9,443.68/14,157.80 = 5,788/x
  3. Step 3: Cross multiply
    9,443.68x = 14,157.80 × 5,788
  4. Step 4: Simplify right side
    9,443.68x = 81,945,346.40
  5. Step 5: Solve for x
    x = 81,945,346.40/9,443.68
  6. Step 6: Final answer
    x = 8,677.27

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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.