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Finding the Fourth Proportional to 9,484.56, 13,089.20 and 5,506.92

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Solution

The fourth proportional to 9,484.56, 13,089.20 and 5,506.92 is: 7,599.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,484.56 : 13,089.20 = 5,506.92 : x
  2. Step 2: Convert to fraction form
    9,484.56/13,089.20 = 5,506.92/x
  3. Step 3: Cross multiply
    9,484.56x = 13,089.20 × 5,506.92
  4. Step 4: Simplify right side
    9,484.56x = 72,081,149.73
  5. Step 5: Solve for x
    x = 72,081,149.73/9,484.56
  6. Step 6: Final answer
    x = 7,599.84

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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.