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Finding the Fourth Proportional to 9,628.68, 13,287.60 and 6,489.12

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Solution

The fourth proportional to 9,628.68, 13,287.60 and 6,489.12 is: 8,955.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,628.68 : 13,287.60 = 6,489.12 : x
  2. Step 2: Convert to fraction form
    9,628.68/13,287.60 = 6,489.12/x
  3. Step 3: Cross multiply
    9,628.68x = 13,287.60 × 6,489.12
  4. Step 4: Simplify right side
    9,628.68x = 86,224,830.91
  5. Step 5: Solve for x
    x = 86,224,830.91/9,628.68
  6. Step 6: Final answer
    x = 8,955.00

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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.