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Finding the Fourth Proportional to 7,004.86, 9,668.34 and 4,354.26

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Solution

The fourth proportional to 7,004.86, 9,668.34 and 4,354.26 is: 6,009.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,004.86 : 9,668.34 = 4,354.26 : x
  2. Step 2: Convert to fraction form
    7,004.86/9,668.34 = 4,354.26/x
  3. Step 3: Cross multiply
    7,004.86x = 9,668.34 × 4,354.26
  4. Step 4: Simplify right side
    7,004.86x = 42,098,466.13
  5. Step 5: Solve for x
    x = 42,098,466.13/7,004.86
  6. Step 6: Final answer
    x = 6,009.89

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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.