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Finding the Fourth Proportional to 9,920.18, 13,675.56 and 7,558.22

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Solution

The fourth proportional to 9,920.18, 13,675.56 and 7,558.22 is: 10,419.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.18 : 13,675.56 = 7,558.22 : x
  2. Step 2: Convert to fraction form
    9,920.18/13,675.56 = 7,558.22/x
  3. Step 3: Cross multiply
    9,920.18x = 13,675.56 × 7,558.22
  4. Step 4: Simplify right side
    9,920.18x = 103,362,891.10
  5. Step 5: Solve for x
    x = 103,362,891.10/9,920.18
  6. Step 6: Final answer
    x = 10,419.46

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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.