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Finding the Fourth Proportional to 9,203.85, 13,807.79 and 5,257.00

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Solution

The fourth proportional to 9,203.85, 13,807.79 and 5,257.00 is: 7,886.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.85 : 13,807.79 = 5,257.00 : x
  2. Step 2: Convert to fraction form
    9,203.85/13,807.79 = 5,257.00/x
  3. Step 3: Cross multiply
    9,203.85x = 13,807.79 × 5,257.00
  4. Step 4: Simplify right side
    9,203.85x = 72,587,577.50
  5. Step 5: Solve for x
    x = 72,587,577.50/9,203.85
  6. Step 6: Final answer
    x = 7,886.65

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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.