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Finding the Fourth Proportional to 9,763.83, 13,479.89 and 6,412.50

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Solution

The fourth proportional to 9,763.83, 13,479.89 and 6,412.50 is: 8,853.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.83 : 13,479.89 = 6,412.50 : x
  2. Step 2: Convert to fraction form
    9,763.83/13,479.89 = 6,412.50/x
  3. Step 3: Cross multiply
    9,763.83x = 13,479.89 × 6,412.50
  4. Step 4: Simplify right side
    9,763.83x = 86,439,762.56
  5. Step 5: Solve for x
    x = 86,439,762.56/9,763.83
  6. Step 6: Final answer
    x = 8,853.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.