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Finding the Fourth Proportional to 9,814.49, 14,702.07 and 4,542.35

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Solution

The fourth proportional to 9,814.49, 14,702.07 and 4,542.35 is: 6,804.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.49 : 14,702.07 = 4,542.35 : x
  2. Step 2: Convert to fraction form
    9,814.49/14,702.07 = 4,542.35/x
  3. Step 3: Cross multiply
    9,814.49x = 14,702.07 × 4,542.35
  4. Step 4: Simplify right side
    9,814.49x = 66,781,874.15
  5. Step 5: Solve for x
    x = 66,781,874.15/9,814.49
  6. Step 6: Final answer
    x = 6,804.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.