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Finding the Fourth Proportional to 9,771.45, 13,490.72 and 7,529.07

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Solution

The fourth proportional to 9,771.45, 13,490.72 and 7,529.07 is: 10,394.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.45 : 13,490.72 = 7,529.07 : x
  2. Step 2: Convert to fraction form
    9,771.45/13,490.72 = 7,529.07/x
  3. Step 3: Cross multiply
    9,771.45x = 13,490.72 × 7,529.07
  4. Step 4: Simplify right side
    9,771.45x = 101,572,575.23
  5. Step 5: Solve for x
    x = 101,572,575.23/9,771.45
  6. Step 6: Final answer
    x = 10,394.83

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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.