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Finding the Fourth Proportional to 9,398.42, 14,096.63 and 4,954.30

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Solution

The fourth proportional to 9,398.42, 14,096.63 and 4,954.30 is: 7,430.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,398.42 : 14,096.63 = 4,954.30 : x
  2. Step 2: Convert to fraction form
    9,398.42/14,096.63 = 4,954.30/x
  3. Step 3: Cross multiply
    9,398.42x = 14,096.63 × 4,954.30
  4. Step 4: Simplify right side
    9,398.42x = 69,838,934.01
  5. Step 5: Solve for x
    x = 69,838,934.01/9,398.42
  6. Step 6: Final answer
    x = 7,430.93

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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.