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Finding the Fourth Proportional to 7,770.17, 11,655.34 and 6,220.03

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Solution

The fourth proportional to 7,770.17, 11,655.34 and 6,220.03 is: 9,330.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.17 : 11,655.34 = 6,220.03 : x
  2. Step 2: Convert to fraction form
    7,770.17/11,655.34 = 6,220.03/x
  3. Step 3: Cross multiply
    7,770.17x = 11,655.34 × 6,220.03
  4. Step 4: Simplify right side
    7,770.17x = 72,496,488.51
  5. Step 5: Solve for x
    x = 72,496,488.51/7,770.17
  6. Step 6: Final answer
    x = 9,330.10

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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.