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Finding the Fourth Proportional to 9,387.04, 12,953.10 and 5,194.48

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Solution

The fourth proportional to 9,387.04, 12,953.10 and 5,194.48 is: 7,167.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,387.04 : 12,953.10 = 5,194.48 : x
  2. Step 2: Convert to fraction form
    9,387.04/12,953.10 = 5,194.48/x
  3. Step 3: Cross multiply
    9,387.04x = 12,953.10 × 5,194.48
  4. Step 4: Simplify right side
    9,387.04x = 67,284,618.89
  5. Step 5: Solve for x
    x = 67,284,618.89/9,387.04
  6. Step 6: Final answer
    x = 7,167.82

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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.