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Finding the Fourth Proportional to 8,417.34, 12,625.14 and 3,737.46

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Solution

The fourth proportional to 8,417.34, 12,625.14 and 3,737.46 is: 5,605.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,417.34 : 12,625.14 = 3,737.46 : x
  2. Step 2: Convert to fraction form
    8,417.34/12,625.14 = 3,737.46/x
  3. Step 3: Cross multiply
    8,417.34x = 12,625.14 × 3,737.46
  4. Step 4: Simplify right side
    8,417.34x = 47,185,955.74
  5. Step 5: Solve for x
    x = 47,185,955.74/8,417.34
  6. Step 6: Final answer
    x = 5,605.80

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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.