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Finding the Fourth Proportional to 6,153.84, 9,225.72 and 3,558.96

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Solution

The fourth proportional to 6,153.84, 9,225.72 and 3,558.96 is: 5,335.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,153.84 : 9,225.72 = 3,558.96 : x
  2. Step 2: Convert to fraction form
    6,153.84/9,225.72 = 3,558.96/x
  3. Step 3: Cross multiply
    6,153.84x = 9,225.72 × 3,558.96
  4. Step 4: Simplify right side
    6,153.84x = 32,833,968.45
  5. Step 5: Solve for x
    x = 32,833,968.45/6,153.84
  6. Step 6: Final answer
    x = 5,335.53

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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.