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Finding the Fourth Proportional to 9,718.94, 13,412.20 and 5,470.09

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Solution

The fourth proportional to 9,718.94, 13,412.20 and 5,470.09 is: 7,548.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718.94 : 13,412.20 = 5,470.09 : x
  2. Step 2: Convert to fraction form
    9,718.94/13,412.20 = 5,470.09/x
  3. Step 3: Cross multiply
    9,718.94x = 13,412.20 × 5,470.09
  4. Step 4: Simplify right side
    9,718.94x = 73,365,893.89
  5. Step 5: Solve for x
    x = 73,365,893.89/9,718.94
  6. Step 6: Final answer
    x = 7,548.75

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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.