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Finding the Fourth Proportional to 9,541.84, 14,313.42 and 3,302.44

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Solution

The fourth proportional to 9,541.84, 14,313.42 and 3,302.44 is: 4,953.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,541.84 : 14,313.42 = 3,302.44 : x
  2. Step 2: Convert to fraction form
    9,541.84/14,313.42 = 3,302.44/x
  3. Step 3: Cross multiply
    9,541.84x = 14,313.42 × 3,302.44
  4. Step 4: Simplify right side
    9,541.84x = 47,269,210.74
  5. Step 5: Solve for x
    x = 47,269,210.74/9,541.84
  6. Step 6: Final answer
    x = 4,953.89

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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.