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Finding the Fourth Proportional to 9,975.23, 13,770.36 and 7,105.81

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Solution

The fourth proportional to 9,975.23, 13,770.36 and 7,105.81 is: 9,809.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,975.23 : 13,770.36 = 7,105.81 : x
  2. Step 2: Convert to fraction form
    9,975.23/13,770.36 = 7,105.81/x
  3. Step 3: Cross multiply
    9,975.23x = 13,770.36 × 7,105.81
  4. Step 4: Simplify right side
    9,975.23x = 97,849,561.79
  5. Step 5: Solve for x
    x = 97,849,561.79/9,975.23
  6. Step 6: Final answer
    x = 9,809.25

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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.