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Finding the Fourth Proportional to 9,280.34, 13,906.84 and 6,803.58

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Solution

The fourth proportional to 9,280.34, 13,906.84 and 6,803.58 is: 10,195.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,280.34 : 13,906.84 = 6,803.58 : x
  2. Step 2: Convert to fraction form
    9,280.34/13,906.84 = 6,803.58/x
  3. Step 3: Cross multiply
    9,280.34x = 13,906.84 × 6,803.58
  4. Step 4: Simplify right side
    9,280.34x = 94,616,298.49
  5. Step 5: Solve for x
    x = 94,616,298.49/9,280.34
  6. Step 6: Final answer
    x = 10,195.35

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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.