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Finding the Fourth Proportional to 9,898.18, 13,661.03 and 5,649.23

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Solution

The fourth proportional to 9,898.18, 13,661.03 and 5,649.23 is: 7,796.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.18 : 13,661.03 = 5,649.23 : x
  2. Step 2: Convert to fraction form
    9,898.18/13,661.03 = 5,649.23/x
  3. Step 3: Cross multiply
    9,898.18x = 13,661.03 × 5,649.23
  4. Step 4: Simplify right side
    9,898.18x = 77,174,300.51
  5. Step 5: Solve for x
    x = 77,174,300.51/9,898.18
  6. Step 6: Final answer
    x = 7,796.82

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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.