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Finding the Fourth Proportional to 9,777.85, 13,493.32 and 5,301.59

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Solution

The fourth proportional to 9,777.85, 13,493.32 and 5,301.59 is: 7,316.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.85 : 13,493.32 = 5,301.59 : x
  2. Step 2: Convert to fraction form
    9,777.85/13,493.32 = 5,301.59/x
  3. Step 3: Cross multiply
    9,777.85x = 13,493.32 × 5,301.59
  4. Step 4: Simplify right side
    9,777.85x = 71,535,969.66
  5. Step 5: Solve for x
    x = 71,535,969.66/9,777.85
  6. Step 6: Final answer
    x = 7,316.13

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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.