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Finding the Fourth Proportional to 6,140.04, 9,210.08 and 3,675.60

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Solution

The fourth proportional to 6,140.04, 9,210.08 and 3,675.60 is: 5,513.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.04 : 9,210.08 = 3,675.60 : x
  2. Step 2: Convert to fraction form
    6,140.04/9,210.08 = 3,675.60/x
  3. Step 3: Cross multiply
    6,140.04x = 9,210.08 × 3,675.60
  4. Step 4: Simplify right side
    6,140.04x = 33,852,570.05
  5. Step 5: Solve for x
    x = 33,852,570.05/6,140.04
  6. Step 6: Final answer
    x = 5,513.41

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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.