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Finding the Fourth Proportional to 9,458.10, 13,051.80 and 5,209.26

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Solution

The fourth proportional to 9,458.10, 13,051.80 and 5,209.26 is: 7,188.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,458.10 : 13,051.80 = 5,209.26 : x
  2. Step 2: Convert to fraction form
    9,458.10/13,051.80 = 5,209.26/x
  3. Step 3: Cross multiply
    9,458.10x = 13,051.80 × 5,209.26
  4. Step 4: Simplify right side
    9,458.10x = 67,990,219.67
  5. Step 5: Solve for x
    x = 67,990,219.67/9,458.10
  6. Step 6: Final answer
    x = 7,188.57

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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.