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Finding the Fourth Proportional to 9,274.60, 13,905 and 3,430.12

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Solution

The fourth proportional to 9,274.60, 13,905 and 3,430.12 is: 5,142.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.60 : 13,905 = 3,430.12 : x
  2. Step 2: Convert to fraction form
    9,274.60/13,905 = 3,430.12/x
  3. Step 3: Cross multiply
    9,274.60x = 13,905 × 3,430.12
  4. Step 4: Simplify right side
    9,274.60x = 47,695,818.60
  5. Step 5: Solve for x
    x = 47,695,818.60/9,274.60
  6. Step 6: Final answer
    x = 5,142.63

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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.