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Finding the Fourth Proportional to 9,684.15, 13,361.07 and 5,434.58

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Solution

The fourth proportional to 9,684.15, 13,361.07 and 5,434.58 is: 7,498.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.15 : 13,361.07 = 5,434.58 : x
  2. Step 2: Convert to fraction form
    9,684.15/13,361.07 = 5,434.58/x
  3. Step 3: Cross multiply
    9,684.15x = 13,361.07 × 5,434.58
  4. Step 4: Simplify right side
    9,684.15x = 72,611,803.80
  5. Step 5: Solve for x
    x = 72,611,803.80/9,684.15
  6. Step 6: Final answer
    x = 7,498.01

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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.