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Finding the Fourth Proportional to 9,381.06, 12,941.98 and 6,025.84

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Solution

The fourth proportional to 9,381.06, 12,941.98 and 6,025.84 is: 8,313.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,381.06 : 12,941.98 = 6,025.84 : x
  2. Step 2: Convert to fraction form
    9,381.06/12,941.98 = 6,025.84/x
  3. Step 3: Cross multiply
    9,381.06x = 12,941.98 × 6,025.84
  4. Step 4: Simplify right side
    9,381.06x = 77,986,253.34
  5. Step 5: Solve for x
    x = 77,986,253.34/9,381.06
  6. Step 6: Final answer
    x = 8,313.16

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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.