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Finding the Fourth Proportional to 8,946.14, 12,345.71 and 4,967.24

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Solution

The fourth proportional to 8,946.14, 12,345.71 and 4,967.24 is: 6,854.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.14 : 12,345.71 = 4,967.24 : x
  2. Step 2: Convert to fraction form
    8,946.14/12,345.71 = 4,967.24/x
  3. Step 3: Cross multiply
    8,946.14x = 12,345.71 × 4,967.24
  4. Step 4: Simplify right side
    8,946.14x = 61,324,017.98
  5. Step 5: Solve for x
    x = 61,324,017.98/8,946.14
  6. Step 6: Final answer
    x = 6,854.81

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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.