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Finding the Fourth Proportional to 9,458, 13,052.04 and 5,266.52

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Solution

The fourth proportional to 9,458, 13,052.04 and 5,266.52 is: 7,267.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,458 : 13,052.04 = 5,266.52 : x
  2. Step 2: Convert to fraction form
    9,458/13,052.04 = 5,266.52/x
  3. Step 3: Cross multiply
    9,458x = 13,052.04 × 5,266.52
  4. Step 4: Simplify right side
    9,458x = 68,738,829.70
  5. Step 5: Solve for x
    x = 68,738,829.70/9,458
  6. Step 6: Final answer
    x = 7,267.80

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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.