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Finding the Fourth Proportional to 9,896.16, 14,820.82 and 8,590.56

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Solution

The fourth proportional to 9,896.16, 14,820.82 and 8,590.56 is: 12,865.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.16 : 14,820.82 = 8,590.56 : x
  2. Step 2: Convert to fraction form
    9,896.16/14,820.82 = 8,590.56/x
  3. Step 3: Cross multiply
    9,896.16x = 14,820.82 × 8,590.56
  4. Step 4: Simplify right side
    9,896.16x = 127,319,143.46
  5. Step 5: Solve for x
    x = 127,319,143.46/9,896.16
  6. Step 6: Final answer
    x = 12,865.51

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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.