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Finding the Fourth Proportional to 9,643.95, 14,468.04 and 4,102.04

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Solution

The fourth proportional to 9,643.95, 14,468.04 and 4,102.04 is: 6,153.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.95 : 14,468.04 = 4,102.04 : x
  2. Step 2: Convert to fraction form
    9,643.95/14,468.04 = 4,102.04/x
  3. Step 3: Cross multiply
    9,643.95x = 14,468.04 × 4,102.04
  4. Step 4: Simplify right side
    9,643.95x = 59,348,406.46
  5. Step 5: Solve for x
    x = 59,348,406.46/9,643.95
  6. Step 6: Final answer
    x = 6,153.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.