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Finding the Fourth Proportional to 7,131.84, 9,841.74 and 4,148.64

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Solution

The fourth proportional to 7,131.84, 9,841.74 and 4,148.64 is: 5,725.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.84 : 9,841.74 = 4,148.64 : x
  2. Step 2: Convert to fraction form
    7,131.84/9,841.74 = 4,148.64/x
  3. Step 3: Cross multiply
    7,131.84x = 9,841.74 × 4,148.64
  4. Step 4: Simplify right side
    7,131.84x = 40,829,836.23
  5. Step 5: Solve for x
    x = 40,829,836.23/7,131.84
  6. Step 6: Final answer
    x = 5,725.01

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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.