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Finding the Fourth Proportional to 8,470.34, 12,703.47 and 3,537.31

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Solution

The fourth proportional to 8,470.34, 12,703.47 and 3,537.31 is: 5,305.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.34 : 12,703.47 = 3,537.31 : x
  2. Step 2: Convert to fraction form
    8,470.34/12,703.47 = 3,537.31/x
  3. Step 3: Cross multiply
    8,470.34x = 12,703.47 × 3,537.31
  4. Step 4: Simplify right side
    8,470.34x = 44,936,111.47
  5. Step 5: Solve for x
    x = 44,936,111.47/8,470.34
  6. Step 6: Final answer
    x = 5,305.11

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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.