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Finding the Fourth Proportional to 9,582.84, 13,224.60 and 5,391

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Solution

The fourth proportional to 9,582.84, 13,224.60 and 5,391 is: 7,439.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.84 : 13,224.60 = 5,391 : x
  2. Step 2: Convert to fraction form
    9,582.84/13,224.60 = 5,391/x
  3. Step 3: Cross multiply
    9,582.84x = 13,224.60 × 5,391
  4. Step 4: Simplify right side
    9,582.84x = 71,293,818.60
  5. Step 5: Solve for x
    x = 71,293,818.60/9,582.84
  6. Step 6: Final answer
    x = 7,439.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.