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Finding the Fourth Proportional to 9,409.68, 12,989.53 and 6,588.15

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Solution

The fourth proportional to 9,409.68, 12,989.53 and 6,588.15 is: 9,094.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.68 : 12,989.53 = 6,588.15 : x
  2. Step 2: Convert to fraction form
    9,409.68/12,989.53 = 6,588.15/x
  3. Step 3: Cross multiply
    9,409.68x = 12,989.53 × 6,588.15
  4. Step 4: Simplify right side
    9,409.68x = 85,576,922.07
  5. Step 5: Solve for x
    x = 85,576,922.07/9,409.68
  6. Step 6: Final answer
    x = 9,094.56

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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.