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Finding the Fourth Proportional to 9,971.33, 14,928.03 and 5,798.61

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Solution

The fourth proportional to 9,971.33, 14,928.03 and 5,798.61 is: 8,681.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.33 : 14,928.03 = 5,798.61 : x
  2. Step 2: Convert to fraction form
    9,971.33/14,928.03 = 5,798.61/x
  3. Step 3: Cross multiply
    9,971.33x = 14,928.03 × 5,798.61
  4. Step 4: Simplify right side
    9,971.33x = 86,561,824.04
  5. Step 5: Solve for x
    x = 86,561,824.04/9,971.33
  6. Step 6: Final answer
    x = 8,681.07

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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.