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Finding the Fourth Proportional to 9,468.29, 13,065.30 and 5,490.74

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Solution

The fourth proportional to 9,468.29, 13,065.30 and 5,490.74 is: 7,576.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468.29 : 13,065.30 = 5,490.74 : x
  2. Step 2: Convert to fraction form
    9,468.29/13,065.30 = 5,490.74/x
  3. Step 3: Cross multiply
    9,468.29x = 13,065.30 × 5,490.74
  4. Step 4: Simplify right side
    9,468.29x = 71,738,165.32
  5. Step 5: Solve for x
    x = 71,738,165.32/9,468.29
  6. Step 6: Final answer
    x = 7,576.68

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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.