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Finding the Fourth Proportional to 9,972.52, 13,762.04 and 5,783.20

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Solution

The fourth proportional to 9,972.52, 13,762.04 and 5,783.20 is: 7,980.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,972.52 : 13,762.04 = 5,783.20 : x
  2. Step 2: Convert to fraction form
    9,972.52/13,762.04 = 5,783.20/x
  3. Step 3: Cross multiply
    9,972.52x = 13,762.04 × 5,783.20
  4. Step 4: Simplify right side
    9,972.52x = 79,588,629.73
  5. Step 5: Solve for x
    x = 79,588,629.73/9,972.52
  6. Step 6: Final answer
    x = 7,980.79

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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.