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Finding the Fourth Proportional to 9,492.83, 13,102.77 and 5,513.21

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Solution

The fourth proportional to 9,492.83, 13,102.77 and 5,513.21 is: 7,609.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.83 : 13,102.77 = 5,513.21 : x
  2. Step 2: Convert to fraction form
    9,492.83/13,102.77 = 5,513.21/x
  3. Step 3: Cross multiply
    9,492.83x = 13,102.77 × 5,513.21
  4. Step 4: Simplify right side
    9,492.83x = 72,238,322.59
  5. Step 5: Solve for x
    x = 72,238,322.59/9,492.83
  6. Step 6: Final answer
    x = 7,609.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.