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Finding the Fourth Proportional to 6,524.56, 9,790.72 and 2,364.16

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Solution

The fourth proportional to 6,524.56, 9,790.72 and 2,364.16 is: 3,547.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.56 : 9,790.72 = 2,364.16 : x
  2. Step 2: Convert to fraction form
    6,524.56/9,790.72 = 2,364.16/x
  3. Step 3: Cross multiply
    6,524.56x = 9,790.72 × 2,364.16
  4. Step 4: Simplify right side
    6,524.56x = 23,146,828.60
  5. Step 5: Solve for x
    x = 23,146,828.60/6,524.56
  6. Step 6: Final answer
    x = 3,547.65

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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.