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Finding the Fourth Proportional to 9,465.92, 14,200.96 and 2,893.76

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Solution

The fourth proportional to 9,465.92, 14,200.96 and 2,893.76 is: 4,341.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465.92 : 14,200.96 = 2,893.76 : x
  2. Step 2: Convert to fraction form
    9,465.92/14,200.96 = 2,893.76/x
  3. Step 3: Cross multiply
    9,465.92x = 14,200.96 × 2,893.76
  4. Step 4: Simplify right side
    9,465.92x = 41,094,170.01
  5. Step 5: Solve for x
    x = 41,094,170.01/9,465.92
  6. Step 6: Final answer
    x = 4,341.28

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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.