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Finding the Fourth Proportional to 9,458.84, 13,051.32 and 5,266.28

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Solution

The fourth proportional to 9,458.84, 13,051.32 and 5,266.28 is: 7,266.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,458.84 : 13,051.32 = 5,266.28 : x
  2. Step 2: Convert to fraction form
    9,458.84/13,051.32 = 5,266.28/x
  3. Step 3: Cross multiply
    9,458.84x = 13,051.32 × 5,266.28
  4. Step 4: Simplify right side
    9,458.84x = 68,731,905.49
  5. Step 5: Solve for x
    x = 68,731,905.49/9,458.84
  6. Step 6: Final answer
    x = 7,266.42

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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.