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Finding the Fourth Proportional to 9,968, 14,947.06 and 5,809.05

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Solution

The fourth proportional to 9,968, 14,947.06 and 5,809.05 is: 8,710.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,968 : 14,947.06 = 5,809.05 : x
  2. Step 2: Convert to fraction form
    9,968/14,947.06 = 5,809.05/x
  3. Step 3: Cross multiply
    9,968x = 14,947.06 × 5,809.05
  4. Step 4: Simplify right side
    9,968x = 86,828,218.89
  5. Step 5: Solve for x
    x = 86,828,218.89/9,968
  6. Step 6: Final answer
    x = 8,710.70

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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.