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Finding the Fourth Proportional to 37,746.53, 56,618.18 and 9,667.34

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Solution

The fourth proportional to 37,746.53, 56,618.18 and 9,667.34 is: 14,500.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,746.53 : 56,618.18 = 9,667.34 : x
  2. Step 2: Convert to fraction form
    37,746.53/56,618.18 = 9,667.34/x
  3. Step 3: Cross multiply
    37,746.53x = 56,618.18 × 9,667.34
  4. Step 4: Simplify right side
    37,746.53x = 547,347,325.70
  5. Step 5: Solve for x
    x = 547,347,325.70/37,746.53
  6. Step 6: Final answer
    x = 14,500.60

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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.