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Finding the Fourth Proportional to 9,646.29, 13,311.90 and 5,454.54

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Solution

The fourth proportional to 9,646.29, 13,311.90 and 5,454.54 is: 7,527.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.29 : 13,311.90 = 5,454.54 : x
  2. Step 2: Convert to fraction form
    9,646.29/13,311.90 = 5,454.54/x
  3. Step 3: Cross multiply
    9,646.29x = 13,311.90 × 5,454.54
  4. Step 4: Simplify right side
    9,646.29x = 72,610,291.03
  5. Step 5: Solve for x
    x = 72,610,291.03/9,646.29
  6. Step 6: Final answer
    x = 7,527.28

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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.