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Finding the Fourth Proportional to 9,243.54, 13,864.91 and 2,580.08

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Solution

The fourth proportional to 9,243.54, 13,864.91 and 2,580.08 is: 3,870.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.54 : 13,864.91 = 2,580.08 : x
  2. Step 2: Convert to fraction form
    9,243.54/13,864.91 = 2,580.08/x
  3. Step 3: Cross multiply
    9,243.54x = 13,864.91 × 2,580.08
  4. Step 4: Simplify right side
    9,243.54x = 35,772,494.77
  5. Step 5: Solve for x
    x = 35,772,494.77/9,243.54
  6. Step 6: Final answer
    x = 3,870.00

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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.