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Finding the Fourth Proportional to 9,429.01, 13,009.10 and 5,448.67

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Solution

The fourth proportional to 9,429.01, 13,009.10 and 5,448.67 is: 7,517.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,429.01 : 13,009.10 = 5,448.67 : x
  2. Step 2: Convert to fraction form
    9,429.01/13,009.10 = 5,448.67/x
  3. Step 3: Cross multiply
    9,429.01x = 13,009.10 × 5,448.67
  4. Step 4: Simplify right side
    9,429.01x = 70,882,214.23
  5. Step 5: Solve for x
    x = 70,882,214.23/9,429.01
  6. Step 6: Final answer
    x = 7,517.46

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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.