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Finding the Fourth Proportional to 9,851.34, 13,574.25 and 6,702.06

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Solution

The fourth proportional to 9,851.34, 13,574.25 and 6,702.06 is: 9,234.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.34 : 13,574.25 = 6,702.06 : x
  2. Step 2: Convert to fraction form
    9,851.34/13,574.25 = 6,702.06/x
  3. Step 3: Cross multiply
    9,851.34x = 13,574.25 × 6,702.06
  4. Step 4: Simplify right side
    9,851.34x = 90,975,437.96
  5. Step 5: Solve for x
    x = 90,975,437.96/9,851.34
  6. Step 6: Final answer
    x = 9,234.83

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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.