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Finding the Fourth Proportional to 9,428.12, 13,009.35 and 5,448.46

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Solution

The fourth proportional to 9,428.12, 13,009.35 and 5,448.46 is: 7,518.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,428.12 : 13,009.35 = 5,448.46 : x
  2. Step 2: Convert to fraction form
    9,428.12/13,009.35 = 5,448.46/x
  3. Step 3: Cross multiply
    9,428.12x = 13,009.35 × 5,448.46
  4. Step 4: Simplify right side
    9,428.12x = 70,880,923.10
  5. Step 5: Solve for x
    x = 70,880,923.10/9,428.12
  6. Step 6: Final answer
    x = 7,518.03

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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.