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Finding the Fourth Proportional to 9,483.84, 14,227.68 and 3,328.32

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Solution

The fourth proportional to 9,483.84, 14,227.68 and 3,328.32 is: 4,993.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,483.84 : 14,227.68 = 3,328.32 : x
  2. Step 2: Convert to fraction form
    9,483.84/14,227.68 = 3,328.32/x
  3. Step 3: Cross multiply
    9,483.84x = 14,227.68 × 3,328.32
  4. Step 4: Simplify right side
    9,483.84x = 47,354,271.90
  5. Step 5: Solve for x
    x = 47,354,271.90/9,483.84
  6. Step 6: Final answer
    x = 4,993.15

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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.