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Finding the Fourth Proportional to 9,204.81, 12,702.78 and 5,013.06

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Solution

The fourth proportional to 9,204.81, 12,702.78 and 5,013.06 is: 6,918.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.81 : 12,702.78 = 5,013.06 : x
  2. Step 2: Convert to fraction form
    9,204.81/12,702.78 = 5,013.06/x
  3. Step 3: Cross multiply
    9,204.81x = 12,702.78 × 5,013.06
  4. Step 4: Simplify right side
    9,204.81x = 63,679,798.31
  5. Step 5: Solve for x
    x = 63,679,798.31/9,204.81
  6. Step 6: Final answer
    x = 6,918.10

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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.