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Finding the Fourth Proportional to 8,424.74, 12,637.14 and 3,802.34

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Solution

The fourth proportional to 8,424.74, 12,637.14 and 3,802.34 is: 5,703.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424.74 : 12,637.14 = 3,802.34 : x
  2. Step 2: Convert to fraction form
    8,424.74/12,637.14 = 3,802.34/x
  3. Step 3: Cross multiply
    8,424.74x = 12,637.14 × 3,802.34
  4. Step 4: Simplify right side
    8,424.74x = 48,050,702.91
  5. Step 5: Solve for x
    x = 48,050,702.91/8,424.74
  6. Step 6: Final answer
    x = 5,703.52

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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.