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Finding the Fourth Proportional to 9,513.76, 13,129.68 and 5,535.04

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Solution

The fourth proportional to 9,513.76, 13,129.68 and 5,535.04 is: 7,638.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,513.76 : 13,129.68 = 5,535.04 : x
  2. Step 2: Convert to fraction form
    9,513.76/13,129.68 = 5,535.04/x
  3. Step 3: Cross multiply
    9,513.76x = 13,129.68 × 5,535.04
  4. Step 4: Simplify right side
    9,513.76x = 72,673,303.99
  5. Step 5: Solve for x
    x = 72,673,303.99/9,513.76
  6. Step 6: Final answer
    x = 7,638.76

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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.