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Finding the Fourth Proportional to 10,854.56, 14,966.16 and 9,173

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Solution

The fourth proportional to 10,854.56, 14,966.16 and 9,173 is: 12,647.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854.56 : 14,966.16 = 9,173 : x
  2. Step 2: Convert to fraction form
    10,854.56/14,966.16 = 9,173/x
  3. Step 3: Cross multiply
    10,854.56x = 14,966.16 × 9,173
  4. Step 4: Simplify right side
    10,854.56x = 137,284,585.68
  5. Step 5: Solve for x
    x = 137,284,585.68/10,854.56
  6. Step 6: Final answer
    x = 12,647.64

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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.