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Finding the Fourth Proportional to 9,094.62, 12,554.76 and 6,857.40

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Solution

The fourth proportional to 9,094.62, 12,554.76 and 6,857.40 is: 9,466.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,094.62 : 12,554.76 = 6,857.40 : x
  2. Step 2: Convert to fraction form
    9,094.62/12,554.76 = 6,857.40/x
  3. Step 3: Cross multiply
    9,094.62x = 12,554.76 × 6,857.40
  4. Step 4: Simplify right side
    9,094.62x = 86,093,011.22
  5. Step 5: Solve for x
    x = 86,093,011.22/9,094.62
  6. Step 6: Final answer
    x = 9,466.37

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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.