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Finding the Fourth Proportional to 9,973.83, 13,763.34 and 5,497.59

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Solution

The fourth proportional to 9,973.83, 13,763.34 and 5,497.59 is: 7,586.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973.83 : 13,763.34 = 5,497.59 : x
  2. Step 2: Convert to fraction form
    9,973.83/13,763.34 = 5,497.59/x
  3. Step 3: Cross multiply
    9,973.83x = 13,763.34 × 5,497.59
  4. Step 4: Simplify right side
    9,973.83x = 75,665,200.35
  5. Step 5: Solve for x
    x = 75,665,200.35/9,973.83
  6. Step 6: Final answer
    x = 7,586.37

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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.