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Finding the Fourth Proportional to 9,973.59, 13,763.70 and 5,497.28

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Solution

The fourth proportional to 9,973.59, 13,763.70 and 5,497.28 is: 7,586.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973.59 : 13,763.70 = 5,497.28 : x
  2. Step 2: Convert to fraction form
    9,973.59/13,763.70 = 5,497.28/x
  3. Step 3: Cross multiply
    9,973.59x = 13,763.70 × 5,497.28
  4. Step 4: Simplify right side
    9,973.59x = 75,662,947.15
  5. Step 5: Solve for x
    x = 75,662,947.15/9,973.59
  6. Step 6: Final answer
    x = 7,586.33

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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.