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Finding the Fourth Proportional to 9,838.41, 14,758.13 and 4,292.14

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Solution

The fourth proportional to 9,838.41, 14,758.13 and 4,292.14 is: 6,438.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.41 : 14,758.13 = 4,292.14 : x
  2. Step 2: Convert to fraction form
    9,838.41/14,758.13 = 4,292.14/x
  3. Step 3: Cross multiply
    9,838.41x = 14,758.13 × 4,292.14
  4. Step 4: Simplify right side
    9,838.41x = 63,343,960.10
  5. Step 5: Solve for x
    x = 63,343,960.10/9,838.41
  6. Step 6: Final answer
    x = 6,438.43

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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.