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Finding the Fourth Proportional to 9,395.89, 12,966.47 and 5,146.86

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Solution

The fourth proportional to 9,395.89, 12,966.47 and 5,146.86 is: 7,102.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,395.89 : 12,966.47 = 5,146.86 : x
  2. Step 2: Convert to fraction form
    9,395.89/12,966.47 = 5,146.86/x
  3. Step 3: Cross multiply
    9,395.89x = 12,966.47 × 5,146.86
  4. Step 4: Simplify right side
    9,395.89x = 66,736,605.78
  5. Step 5: Solve for x
    x = 66,736,605.78/9,395.89
  6. Step 6: Final answer
    x = 7,102.74

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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.