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Finding the Fourth Proportional to 9,666.59, 13,346.32 and 7,424.46

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Solution

The fourth proportional to 9,666.59, 13,346.32 and 7,424.46 is: 10,250.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.59 : 13,346.32 = 7,424.46 : x
  2. Step 2: Convert to fraction form
    9,666.59/13,346.32 = 7,424.46/x
  3. Step 3: Cross multiply
    9,666.59x = 13,346.32 × 7,424.46
  4. Step 4: Simplify right side
    9,666.59x = 99,089,133.69
  5. Step 5: Solve for x
    x = 99,089,133.69/9,666.59
  6. Step 6: Final answer
    x = 10,250.68

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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.