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Finding the Fourth Proportional to 9,864.68, 14,784.60 and 8,629.16

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Solution

The fourth proportional to 9,864.68, 14,784.60 and 8,629.16 is: 12,932.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,864.68 : 14,784.60 = 8,629.16 : x
  2. Step 2: Convert to fraction form
    9,864.68/14,784.60 = 8,629.16/x
  3. Step 3: Cross multiply
    9,864.68x = 14,784.60 × 8,629.16
  4. Step 4: Simplify right side
    9,864.68x = 127,578,678.94
  5. Step 5: Solve for x
    x = 127,578,678.94/9,864.68
  6. Step 6: Final answer
    x = 12,932.88

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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.