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Finding the Fourth Proportional to 9,730.59, 14,590.38 and 5,513.31

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Solution

The fourth proportional to 9,730.59, 14,590.38 and 5,513.31 is: 8,266.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.59 : 14,590.38 = 5,513.31 : x
  2. Step 2: Convert to fraction form
    9,730.59/14,590.38 = 5,513.31/x
  3. Step 3: Cross multiply
    9,730.59x = 14,590.38 × 5,513.31
  4. Step 4: Simplify right side
    9,730.59x = 80,441,287.96
  5. Step 5: Solve for x
    x = 80,441,287.96/9,730.59
  6. Step 6: Final answer
    x = 8,266.85

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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.