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Finding the Fourth Proportional to 9,386.55, 12,952.26 and 5,194.53

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Solution

The fourth proportional to 9,386.55, 12,952.26 and 5,194.53 is: 7,167.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.55 : 12,952.26 = 5,194.53 : x
  2. Step 2: Convert to fraction form
    9,386.55/12,952.26 = 5,194.53/x
  3. Step 3: Cross multiply
    9,386.55x = 12,952.26 × 5,194.53
  4. Step 4: Simplify right side
    9,386.55x = 67,280,903.14
  5. Step 5: Solve for x
    x = 67,280,903.14/9,386.55
  6. Step 6: Final answer
    x = 7,167.80

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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.