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Finding the Fourth Proportional to 9,427.70, 14,130.62 and 7,580.90

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Solution

The fourth proportional to 9,427.70, 14,130.62 and 7,580.90 is: 11,362.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,427.70 : 14,130.62 = 7,580.90 : x
  2. Step 2: Convert to fraction form
    9,427.70/14,130.62 = 7,580.90/x
  3. Step 3: Cross multiply
    9,427.70x = 14,130.62 × 7,580.90
  4. Step 4: Simplify right side
    9,427.70x = 107,122,843.01
  5. Step 5: Solve for x
    x = 107,122,843.01/9,427.70
  6. Step 6: Final answer
    x = 11,362.56

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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.