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Finding the Fourth Proportional to 9,577.92, 14,342.26 and 5,868.94

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Solution

The fourth proportional to 9,577.92, 14,342.26 and 5,868.94 is: 8,788.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577.92 : 14,342.26 = 5,868.94 : x
  2. Step 2: Convert to fraction form
    9,577.92/14,342.26 = 5,868.94/x
  3. Step 3: Cross multiply
    9,577.92x = 14,342.26 × 5,868.94
  4. Step 4: Simplify right side
    9,577.92x = 84,173,863.40
  5. Step 5: Solve for x
    x = 84,173,863.40/9,577.92
  6. Step 6: Final answer
    x = 8,788.32

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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.