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Finding the Fourth Proportional to 9,588.10, 14,384.54 and 3,348.16

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Solution

The fourth proportional to 9,588.10, 14,384.54 and 3,348.16 is: 5,023.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.10 : 14,384.54 = 3,348.16 : x
  2. Step 2: Convert to fraction form
    9,588.10/14,384.54 = 3,348.16/x
  3. Step 3: Cross multiply
    9,588.10x = 14,384.54 × 3,348.16
  4. Step 4: Simplify right side
    9,588.10x = 48,161,735.48
  5. Step 5: Solve for x
    x = 48,161,735.48/9,588.10
  6. Step 6: Final answer
    x = 5,023.08

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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.