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Finding the Fourth Proportional to 9,484.96, 13,089.84 and 5,293.24

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Solution

The fourth proportional to 9,484.96, 13,089.84 and 5,293.24 is: 7,305.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,484.96 : 13,089.84 = 5,293.24 : x
  2. Step 2: Convert to fraction form
    9,484.96/13,089.84 = 5,293.24/x
  3. Step 3: Cross multiply
    9,484.96x = 13,089.84 × 5,293.24
  4. Step 4: Simplify right side
    9,484.96x = 69,287,664.68
  5. Step 5: Solve for x
    x = 69,287,664.68/9,484.96
  6. Step 6: Final answer
    x = 7,305.00

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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.