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Finding the Fourth Proportional to 9,566.84, 13,205 and 6,590.08

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Solution

The fourth proportional to 9,566.84, 13,205 and 6,590.08 is: 9,096.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566.84 : 13,205 = 6,590.08 : x
  2. Step 2: Convert to fraction form
    9,566.84/13,205 = 6,590.08/x
  3. Step 3: Cross multiply
    9,566.84x = 13,205 × 6,590.08
  4. Step 4: Simplify right side
    9,566.84x = 87,022,006.40
  5. Step 5: Solve for x
    x = 87,022,006.40/9,566.84
  6. Step 6: Final answer
    x = 9,096.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.