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Finding the Fourth Proportional to 9,606.81, 13,263.45 and 7,364.46

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Solution

The fourth proportional to 9,606.81, 13,263.45 and 7,364.46 is: 10,167.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.81 : 13,263.45 = 7,364.46 : x
  2. Step 2: Convert to fraction form
    9,606.81/13,263.45 = 7,364.46/x
  3. Step 3: Cross multiply
    9,606.81x = 13,263.45 × 7,364.46
  4. Step 4: Simplify right side
    9,606.81x = 97,678,146.99
  5. Step 5: Solve for x
    x = 97,678,146.99/9,606.81
  6. Step 6: Final answer
    x = 10,167.59

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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.