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Finding the Fourth Proportional to 9,830.91, 13,566.82 and 5,354.67

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Solution

The fourth proportional to 9,830.91, 13,566.82 and 5,354.67 is: 7,389.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.91 : 13,566.82 = 5,354.67 : x
  2. Step 2: Convert to fraction form
    9,830.91/13,566.82 = 5,354.67/x
  3. Step 3: Cross multiply
    9,830.91x = 13,566.82 × 5,354.67
  4. Step 4: Simplify right side
    9,830.91x = 72,645,762.05
  5. Step 5: Solve for x
    x = 72,645,762.05/9,830.91
  6. Step 6: Final answer
    x = 7,389.52

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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.