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Finding the Fourth Proportional to 9,937.47, 14,905.75 and 2,917.20

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Solution

The fourth proportional to 9,937.47, 14,905.75 and 2,917.20 is: 4,375.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937.47 : 14,905.75 = 2,917.20 : x
  2. Step 2: Convert to fraction form
    9,937.47/14,905.75 = 2,917.20/x
  3. Step 3: Cross multiply
    9,937.47x = 14,905.75 × 2,917.20
  4. Step 4: Simplify right side
    9,937.47x = 43,483,053.90
  5. Step 5: Solve for x
    x = 43,483,053.90/9,937.47
  6. Step 6: Final answer
    x = 4,375.67

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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.