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Finding the Fourth Proportional to 8,945.46, 12,345.14 and 4,966.63

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Solution

The fourth proportional to 8,945.46, 12,345.14 and 4,966.63 is: 6,854.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,945.46 : 12,345.14 = 4,966.63 : x
  2. Step 2: Convert to fraction form
    8,945.46/12,345.14 = 4,966.63/x
  3. Step 3: Cross multiply
    8,945.46x = 12,345.14 × 4,966.63
  4. Step 4: Simplify right side
    8,945.46x = 61,313,742.68
  5. Step 5: Solve for x
    x = 61,313,742.68/8,945.46
  6. Step 6: Final answer
    x = 6,854.17

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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.