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Finding the Fourth Proportional to 9,807.90, 13,534.92 and 5,331.64

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Solution

The fourth proportional to 9,807.90, 13,534.92 and 5,331.64 is: 7,357.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.90 : 13,534.92 = 5,331.64 : x
  2. Step 2: Convert to fraction form
    9,807.90/13,534.92 = 5,331.64/x
  3. Step 3: Cross multiply
    9,807.90x = 13,534.92 × 5,331.64
  4. Step 4: Simplify right side
    9,807.90x = 72,163,320.87
  5. Step 5: Solve for x
    x = 72,163,320.87/9,807.90
  6. Step 6: Final answer
    x = 7,357.67

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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.