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Finding the Fourth Proportional to 9,973.02, 13,767.76 and 7,729.86

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Solution

The fourth proportional to 9,973.02, 13,767.76 and 7,729.86 is: 10,671.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973.02 : 13,767.76 = 7,729.86 : x
  2. Step 2: Convert to fraction form
    9,973.02/13,767.76 = 7,729.86/x
  3. Step 3: Cross multiply
    9,973.02x = 13,767.76 × 7,729.86
  4. Step 4: Simplify right side
    9,973.02x = 106,422,857.31
  5. Step 5: Solve for x
    x = 106,422,857.31/9,973.02
  6. Step 6: Final answer
    x = 10,671.08

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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.