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Finding the Fourth Proportional to 9,433.34, 13,018.12 and 5,659.77

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Solution

The fourth proportional to 9,433.34, 13,018.12 and 5,659.77 is: 7,810.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,433.34 : 13,018.12 = 5,659.77 : x
  2. Step 2: Convert to fraction form
    9,433.34/13,018.12 = 5,659.77/x
  3. Step 3: Cross multiply
    9,433.34x = 13,018.12 × 5,659.77
  4. Step 4: Simplify right side
    9,433.34x = 73,679,599.70
  5. Step 5: Solve for x
    x = 73,679,599.70/9,433.34
  6. Step 6: Final answer
    x = 7,810.56

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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.