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Finding the Fourth Proportional to 9,292.95, 13,940.10 and 3,746.34

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Solution

The fourth proportional to 9,292.95, 13,940.10 and 3,746.34 is: 5,619.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.95 : 13,940.10 = 3,746.34 : x
  2. Step 2: Convert to fraction form
    9,292.95/13,940.10 = 3,746.34/x
  3. Step 3: Cross multiply
    9,292.95x = 13,940.10 × 3,746.34
  4. Step 4: Simplify right side
    9,292.95x = 52,224,354.23
  5. Step 5: Solve for x
    x = 52,224,354.23/9,292.95
  6. Step 6: Final answer
    x = 5,619.78

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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.