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Finding the Fourth Proportional to 9,684.97, 14,533.59 and 4,138.35

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Solution

The fourth proportional to 9,684.97, 14,533.59 and 4,138.35 is: 6,210.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.97 : 14,533.59 = 4,138.35 : x
  2. Step 2: Convert to fraction form
    9,684.97/14,533.59 = 4,138.35/x
  3. Step 3: Cross multiply
    9,684.97x = 14,533.59 × 4,138.35
  4. Step 4: Simplify right side
    9,684.97x = 60,145,082.18
  5. Step 5: Solve for x
    x = 60,145,082.18/9,684.97
  6. Step 6: Final answer
    x = 6,210.15

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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.