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Finding the Fourth Proportional to 9,430.75, 13,014.64 and 5,181.87

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Solution

The fourth proportional to 9,430.75, 13,014.64 and 5,181.87 is: 7,151.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,430.75 : 13,014.64 = 5,181.87 : x
  2. Step 2: Convert to fraction form
    9,430.75/13,014.64 = 5,181.87/x
  3. Step 3: Cross multiply
    9,430.75x = 13,014.64 × 5,181.87
  4. Step 4: Simplify right side
    9,430.75x = 67,440,159.62
  5. Step 5: Solve for x
    x = 67,440,159.62/9,430.75
  6. Step 6: Final answer
    x = 7,151.09

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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.