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Finding the Fourth Proportional to 9,566.40, 14,333.06 and 5,186.90

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Solution

The fourth proportional to 9,566.40, 14,333.06 and 5,186.90 is: 7,771.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566.40 : 14,333.06 = 5,186.90 : x
  2. Step 2: Convert to fraction form
    9,566.40/14,333.06 = 5,186.90/x
  3. Step 3: Cross multiply
    9,566.40x = 14,333.06 × 5,186.90
  4. Step 4: Simplify right side
    9,566.40x = 74,344,148.91
  5. Step 5: Solve for x
    x = 74,344,148.91/9,566.40
  6. Step 6: Final answer
    x = 7,771.38

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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.