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Finding the Fourth Proportional to 9,587.68, 13,237.68 and 6,004.06

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Solution

The fourth proportional to 9,587.68, 13,237.68 and 6,004.06 is: 8,289.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,587.68 : 13,237.68 = 6,004.06 : x
  2. Step 2: Convert to fraction form
    9,587.68/13,237.68 = 6,004.06/x
  3. Step 3: Cross multiply
    9,587.68x = 13,237.68 × 6,004.06
  4. Step 4: Simplify right side
    9,587.68x = 79,479,824.98
  5. Step 5: Solve for x
    x = 79,479,824.98/9,587.68
  6. Step 6: Final answer
    x = 8,289.79

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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.