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Finding the Fourth Proportional to 9,643.50, 13,298.90 and 6,288.89

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Solution

The fourth proportional to 9,643.50, 13,298.90 and 6,288.89 is: 8,672.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.50 : 13,298.90 = 6,288.89 : x
  2. Step 2: Convert to fraction form
    9,643.50/13,298.90 = 6,288.89/x
  3. Step 3: Cross multiply
    9,643.50x = 13,298.90 × 6,288.89
  4. Step 4: Simplify right side
    9,643.50x = 83,635,221.28
  5. Step 5: Solve for x
    x = 83,635,221.28/9,643.50
  6. Step 6: Final answer
    x = 8,672.70

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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.