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Finding the Fourth Proportional to 9,618.84, 14,430.42 and 3,045.42

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Solution

The fourth proportional to 9,618.84, 14,430.42 and 3,045.42 is: 4,568.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,618.84 : 14,430.42 = 3,045.42 : x
  2. Step 2: Convert to fraction form
    9,618.84/14,430.42 = 3,045.42/x
  3. Step 3: Cross multiply
    9,618.84x = 14,430.42 × 3,045.42
  4. Step 4: Simplify right side
    9,618.84x = 43,946,689.68
  5. Step 5: Solve for x
    x = 43,946,689.68/9,618.84
  6. Step 6: Final answer
    x = 4,568.81

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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.