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Finding the Fourth Proportional to 9,973.12, 13,763.06 and 5,496.80

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Solution

The fourth proportional to 9,973.12, 13,763.06 and 5,496.80 is: 7,585.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973.12 : 13,763.06 = 5,496.80 : x
  2. Step 2: Convert to fraction form
    9,973.12/13,763.06 = 5,496.80/x
  3. Step 3: Cross multiply
    9,973.12x = 13,763.06 × 5,496.80
  4. Step 4: Simplify right side
    9,973.12x = 75,652,760.72
  5. Step 5: Solve for x
    x = 75,652,760.72/9,973.12
  6. Step 6: Final answer
    x = 7,585.67

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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.