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Finding the Fourth Proportional to 9,975.22, 13,765.54 and 5,498.99

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Solution

The fourth proportional to 9,975.22, 13,765.54 and 5,498.99 is: 7,588.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,975.22 : 13,765.54 = 5,498.99 : x
  2. Step 2: Convert to fraction form
    9,975.22/13,765.54 = 5,498.99/x
  3. Step 3: Cross multiply
    9,975.22x = 13,765.54 × 5,498.99
  4. Step 4: Simplify right side
    9,975.22x = 75,696,566.80
  5. Step 5: Solve for x
    x = 75,696,566.80/9,975.22
  6. Step 6: Final answer
    x = 7,588.46

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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.