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Finding the Fourth Proportional to 9,480.66, 13,083.31 and 5,288.91

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Solution

The fourth proportional to 9,480.66, 13,083.31 and 5,288.91 is: 7,298.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,480.66 : 13,083.31 = 5,288.91 : x
  2. Step 2: Convert to fraction form
    9,480.66/13,083.31 = 5,288.91/x
  3. Step 3: Cross multiply
    9,480.66x = 13,083.31 × 5,288.91
  4. Step 4: Simplify right side
    9,480.66x = 69,196,406.64
  5. Step 5: Solve for x
    x = 69,196,406.64/9,480.66
  6. Step 6: Final answer
    x = 7,298.69

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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.