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Finding the Fourth Proportional to 9,606.25, 13,259.06 and 5,416.93

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Solution

The fourth proportional to 9,606.25, 13,259.06 and 5,416.93 is: 7,476.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.25 : 13,259.06 = 5,416.93 : x
  2. Step 2: Convert to fraction form
    9,606.25/13,259.06 = 5,416.93/x
  3. Step 3: Cross multiply
    9,606.25x = 13,259.06 × 5,416.93
  4. Step 4: Simplify right side
    9,606.25x = 71,823,399.89
  5. Step 5: Solve for x
    x = 71,823,399.89/9,606.25
  6. Step 6: Final answer
    x = 7,476.74

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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.