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Finding the Fourth Proportional to 9,478.84, 14,219.93 and 3,237.39

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Solution

The fourth proportional to 9,478.84, 14,219.93 and 3,237.39 is: 4,856.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.84 : 14,219.93 = 3,237.39 : x
  2. Step 2: Convert to fraction form
    9,478.84/14,219.93 = 3,237.39/x
  3. Step 3: Cross multiply
    9,478.84x = 14,219.93 × 3,237.39
  4. Step 4: Simplify right side
    9,478.84x = 46,035,459.18
  5. Step 5: Solve for x
    x = 46,035,459.18/9,478.84
  6. Step 6: Final answer
    x = 4,856.66

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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.