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Finding the Fourth Proportional to 9,770.45, 13,489.34 and 7,528.07

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Solution

The fourth proportional to 9,770.45, 13,489.34 and 7,528.07 is: 10,393.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.45 : 13,489.34 = 7,528.07 : x
  2. Step 2: Convert to fraction form
    9,770.45/13,489.34 = 7,528.07/x
  3. Step 3: Cross multiply
    9,770.45x = 13,489.34 × 7,528.07
  4. Step 4: Simplify right side
    9,770.45x = 101,548,658.13
  5. Step 5: Solve for x
    x = 101,548,658.13/9,770.45
  6. Step 6: Final answer
    x = 10,393.45

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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.