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Finding the Fourth Proportional to 9,750.83, 13,458.69 and 5,773.14

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Solution

The fourth proportional to 9,750.83, 13,458.69 and 5,773.14 is: 7,968.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.83 : 13,458.69 = 5,773.14 : x
  2. Step 2: Convert to fraction form
    9,750.83/13,458.69 = 5,773.14/x
  3. Step 3: Cross multiply
    9,750.83x = 13,458.69 × 5,773.14
  4. Step 4: Simplify right side
    9,750.83x = 77,698,901.59
  5. Step 5: Solve for x
    x = 77,698,901.59/9,750.83
  6. Step 6: Final answer
    x = 7,968.44

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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.