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Finding the Fourth Proportional to 9,773.76, 14,663.07 and 2,848.26

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Solution

The fourth proportional to 9,773.76, 14,663.07 and 2,848.26 is: 4,273.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.76 : 14,663.07 = 2,848.26 : x
  2. Step 2: Convert to fraction form
    9,773.76/14,663.07 = 2,848.26/x
  3. Step 3: Cross multiply
    9,773.76x = 14,663.07 × 2,848.26
  4. Step 4: Simplify right side
    9,773.76x = 41,764,235.76
  5. Step 5: Solve for x
    x = 41,764,235.76/9,773.76
  6. Step 6: Final answer
    x = 4,273.10

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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.