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Finding the Fourth Proportional to 9,291.93, 13,927.37 and 4,615.19

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Solution

The fourth proportional to 9,291.93, 13,927.37 and 4,615.19 is: 6,917.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.93 : 13,927.37 = 4,615.19 : x
  2. Step 2: Convert to fraction form
    9,291.93/13,927.37 = 4,615.19/x
  3. Step 3: Cross multiply
    9,291.93x = 13,927.37 × 4,615.19
  4. Step 4: Simplify right side
    9,291.93x = 64,277,509.59
  5. Step 5: Solve for x
    x = 64,277,509.59/9,291.93
  6. Step 6: Final answer
    x = 6,917.56

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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.