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Finding the Fourth Proportional to 9,580.67, 14,360.37 and 7,233.06

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Solution

The fourth proportional to 9,580.67, 14,360.37 and 7,233.06 is: 10,841.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.67 : 14,360.37 = 7,233.06 : x
  2. Step 2: Convert to fraction form
    9,580.67/14,360.37 = 7,233.06/x
  3. Step 3: Cross multiply
    9,580.67x = 14,360.37 × 7,233.06
  4. Step 4: Simplify right side
    9,580.67x = 103,869,417.83
  5. Step 5: Solve for x
    x = 103,869,417.83/9,580.67
  6. Step 6: Final answer
    x = 10,841.56

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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.