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Finding the Fourth Proportional to 9,348.84, 14,023.08 and 2,423.16

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Solution

The fourth proportional to 9,348.84, 14,023.08 and 2,423.16 is: 3,634.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348.84 : 14,023.08 = 2,423.16 : x
  2. Step 2: Convert to fraction form
    9,348.84/14,023.08 = 2,423.16/x
  3. Step 3: Cross multiply
    9,348.84x = 14,023.08 × 2,423.16
  4. Step 4: Simplify right side
    9,348.84x = 33,980,166.53
  5. Step 5: Solve for x
    x = 33,980,166.53/9,348.84
  6. Step 6: Final answer
    x = 3,634.69

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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.