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Finding the Fourth Proportional to 7,225.98, 9,970.16 and 4,241.66

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Solution

The fourth proportional to 7,225.98, 9,970.16 and 4,241.66 is: 5,852.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.98 : 9,970.16 = 4,241.66 : x
  2. Step 2: Convert to fraction form
    7,225.98/9,970.16 = 4,241.66/x
  3. Step 3: Cross multiply
    7,225.98x = 9,970.16 × 4,241.66
  4. Step 4: Simplify right side
    7,225.98x = 42,290,028.87
  5. Step 5: Solve for x
    x = 42,290,028.87/7,225.98
  6. Step 6: Final answer
    x = 5,852.50

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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.