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Finding the Fourth Proportional to 9,213.94, 13,807.72 and 5,257.02

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Solution

The fourth proportional to 9,213.94, 13,807.72 and 5,257.02 is: 7,878.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213.94 : 13,807.72 = 5,257.02 : x
  2. Step 2: Convert to fraction form
    9,213.94/13,807.72 = 5,257.02/x
  3. Step 3: Cross multiply
    9,213.94x = 13,807.72 × 5,257.02
  4. Step 4: Simplify right side
    9,213.94x = 72,587,411.31
  5. Step 5: Solve for x
    x = 72,587,411.31/9,213.94
  6. Step 6: Final answer
    x = 7,878.00

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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.