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Finding the Fourth Proportional to 9,705.66, 14,548.16 and 5,536.74

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Solution

The fourth proportional to 9,705.66, 14,548.16 and 5,536.74 is: 8,299.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.66 : 14,548.16 = 5,536.74 : x
  2. Step 2: Convert to fraction form
    9,705.66/14,548.16 = 5,536.74/x
  3. Step 3: Cross multiply
    9,705.66x = 14,548.16 × 5,536.74
  4. Step 4: Simplify right side
    9,705.66x = 80,549,379.40
  5. Step 5: Solve for x
    x = 80,549,379.40/9,705.66
  6. Step 6: Final answer
    x = 8,299.22

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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.