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Finding the Fourth Proportional to 9,407.85, 12,983 and 5,158.83

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Solution

The fourth proportional to 9,407.85, 12,983 and 5,158.83 is: 7,119.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.85 : 12,983 = 5,158.83 : x
  2. Step 2: Convert to fraction form
    9,407.85/12,983 = 5,158.83/x
  3. Step 3: Cross multiply
    9,407.85x = 12,983 × 5,158.83
  4. Step 4: Simplify right side
    9,407.85x = 66,977,089.89
  5. Step 5: Solve for x
    x = 66,977,089.89/9,407.85
  6. Step 6: Final answer
    x = 7,119.28

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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.