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Finding the Fourth Proportional to 9,032.07, 13,538.22 and 4,649.79

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Solution

The fourth proportional to 9,032.07, 13,538.22 and 4,649.79 is: 6,969.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,032.07 : 13,538.22 = 4,649.79 : x
  2. Step 2: Convert to fraction form
    9,032.07/13,538.22 = 4,649.79/x
  3. Step 3: Cross multiply
    9,032.07x = 13,538.22 × 4,649.79
  4. Step 4: Simplify right side
    9,032.07x = 62,949,879.97
  5. Step 5: Solve for x
    x = 62,949,879.97/9,032.07
  6. Step 6: Final answer
    x = 6,969.60

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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.