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Finding the Fourth Proportional to 6,762.12, 9,328.95 and 4,109.10

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Solution

The fourth proportional to 6,762.12, 9,328.95 and 4,109.10 is: 5,668.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.12 : 9,328.95 = 4,109.10 : x
  2. Step 2: Convert to fraction form
    6,762.12/9,328.95 = 4,109.10/x
  3. Step 3: Cross multiply
    6,762.12x = 9,328.95 × 4,109.10
  4. Step 4: Simplify right side
    6,762.12x = 38,333,588.45
  5. Step 5: Solve for x
    x = 38,333,588.45/6,762.12
  6. Step 6: Final answer
    x = 5,668.87

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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.