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Finding the Fourth Proportional to 9,458.08, 13,052 and 5,266.40

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Solution

The fourth proportional to 9,458.08, 13,052 and 5,266.40 is: 7,267.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,458.08 : 13,052 = 5,266.40 : x
  2. Step 2: Convert to fraction form
    9,458.08/13,052 = 5,266.40/x
  3. Step 3: Cross multiply
    9,458.08x = 13,052 × 5,266.40
  4. Step 4: Simplify right side
    9,458.08x = 68,737,052.80
  5. Step 5: Solve for x
    x = 68,737,052.80/9,458.08
  6. Step 6: Final answer
    x = 7,267.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.