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Finding the Fourth Proportional to 9,710.41, 14,566.59 and 3,865.66

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Solution

The fourth proportional to 9,710.41, 14,566.59 and 3,865.66 is: 5,798.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.41 : 14,566.59 = 3,865.66 : x
  2. Step 2: Convert to fraction form
    9,710.41/14,566.59 = 3,865.66/x
  3. Step 3: Cross multiply
    9,710.41x = 14,566.59 × 3,865.66
  4. Step 4: Simplify right side
    9,710.41x = 56,309,484.30
  5. Step 5: Solve for x
    x = 56,309,484.30/9,710.41
  6. Step 6: Final answer
    x = 5,798.88

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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.