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Finding the Fourth Proportional to 9,157.09, 12,636.70 and 5,178.98

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Solution

The fourth proportional to 9,157.09, 12,636.70 and 5,178.98 is: 7,146.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.09 : 12,636.70 = 5,178.98 : x
  2. Step 2: Convert to fraction form
    9,157.09/12,636.70 = 5,178.98/x
  3. Step 3: Cross multiply
    9,157.09x = 12,636.70 × 5,178.98
  4. Step 4: Simplify right side
    9,157.09x = 65,445,216.57
  5. Step 5: Solve for x
    x = 65,445,216.57/9,157.09
  6. Step 6: Final answer
    x = 7,146.94

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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.