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Finding the Fourth Proportional to 8,946.60, 13,415.85 and 4,017.75

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Solution

The fourth proportional to 8,946.60, 13,415.85 and 4,017.75 is: 6,024.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.60 : 13,415.85 = 4,017.75 : x
  2. Step 2: Convert to fraction form
    8,946.60/13,415.85 = 4,017.75/x
  3. Step 3: Cross multiply
    8,946.60x = 13,415.85 × 4,017.75
  4. Step 4: Simplify right side
    8,946.60x = 53,901,531.34
  5. Step 5: Solve for x
    x = 53,901,531.34/8,946.60
  6. Step 6: Final answer
    x = 6,024.81

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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.