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Finding the Fourth Proportional to 9,304.34, 14,018.57 and 8,415.89

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Solution

The fourth proportional to 9,304.34, 14,018.57 and 8,415.89 is: 12,679.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,304.34 : 14,018.57 = 8,415.89 : x
  2. Step 2: Convert to fraction form
    9,304.34/14,018.57 = 8,415.89/x
  3. Step 3: Cross multiply
    9,304.34x = 14,018.57 × 8,415.89
  4. Step 4: Simplify right side
    9,304.34x = 117,978,630.91
  5. Step 5: Solve for x
    x = 117,978,630.91/9,304.34
  6. Step 6: Final answer
    x = 12,679.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.