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Finding the Fourth Proportional to 9,973.44, 14,941 and 5,577.56

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Solution

The fourth proportional to 9,973.44, 14,941 and 5,577.56 is: 8,355.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973.44 : 14,941 = 5,577.56 : x
  2. Step 2: Convert to fraction form
    9,973.44/14,941 = 5,577.56/x
  3. Step 3: Cross multiply
    9,973.44x = 14,941 × 5,577.56
  4. Step 4: Simplify right side
    9,973.44x = 83,334,323.96
  5. Step 5: Solve for x
    x = 83,334,323.96/9,973.44
  6. Step 6: Final answer
    x = 8,355.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.