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Finding the Fourth Proportional to 9,253.84, 12,770.16 and 5,527.12

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Solution

The fourth proportional to 9,253.84, 12,770.16 and 5,527.12 is: 7,627.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,253.84 : 12,770.16 = 5,527.12 : x
  2. Step 2: Convert to fraction form
    9,253.84/12,770.16 = 5,527.12/x
  3. Step 3: Cross multiply
    9,253.84x = 12,770.16 × 5,527.12
  4. Step 4: Simplify right side
    9,253.84x = 70,582,206.74
  5. Step 5: Solve for x
    x = 70,582,206.74/9,253.84
  6. Step 6: Final answer
    x = 7,627.34

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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.