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Finding the Fourth Proportional to 9,381.32, 14,068.46 and 3,534.76

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Solution

The fourth proportional to 9,381.32, 14,068.46 and 3,534.76 is: 5,300.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,381.32 : 14,068.46 = 3,534.76 : x
  2. Step 2: Convert to fraction form
    9,381.32/14,068.46 = 3,534.76/x
  3. Step 3: Cross multiply
    9,381.32x = 14,068.46 × 3,534.76
  4. Step 4: Simplify right side
    9,381.32x = 49,728,629.67
  5. Step 5: Solve for x
    x = 49,728,629.67/9,381.32
  6. Step 6: Final answer
    x = 5,300.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.