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Finding the Fourth Proportional to 9,929.81, 13,702.91 and 5,453.55

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Solution

The fourth proportional to 9,929.81, 13,702.91 and 5,453.55 is: 7,525.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929.81 : 13,702.91 = 5,453.55 : x
  2. Step 2: Convert to fraction form
    9,929.81/13,702.91 = 5,453.55/x
  3. Step 3: Cross multiply
    9,929.81x = 13,702.91 × 5,453.55
  4. Step 4: Simplify right side
    9,929.81x = 74,729,477.56
  5. Step 5: Solve for x
    x = 74,729,477.56/9,929.81
  6. Step 6: Final answer
    x = 7,525.77

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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.