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Finding the Fourth Proportional to 9,144.47, 13,706.35 and 4,203.91

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Solution

The fourth proportional to 9,144.47, 13,706.35 and 4,203.91 is: 6,301.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.47 : 13,706.35 = 4,203.91 : x
  2. Step 2: Convert to fraction form
    9,144.47/13,706.35 = 4,203.91/x
  3. Step 3: Cross multiply
    9,144.47x = 13,706.35 × 4,203.91
  4. Step 4: Simplify right side
    9,144.47x = 57,620,261.83
  5. Step 5: Solve for x
    x = 57,620,261.83/9,144.47
  6. Step 6: Final answer
    x = 6,301.10

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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.