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Finding the Fourth Proportional to 9,675.62, 14,518.30 and 7,215.38

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Solution

The fourth proportional to 9,675.62, 14,518.30 and 7,215.38 is: 10,826.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.62 : 14,518.30 = 7,215.38 : x
  2. Step 2: Convert to fraction form
    9,675.62/14,518.30 = 7,215.38/x
  3. Step 3: Cross multiply
    9,675.62x = 14,518.30 × 7,215.38
  4. Step 4: Simplify right side
    9,675.62x = 104,755,051.45
  5. Step 5: Solve for x
    x = 104,755,051.45/9,675.62
  6. Step 6: Final answer
    x = 10,826.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.