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Finding the Fourth Proportional to 6,176.40, 9,259.14 and 4,722.05

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Solution

The fourth proportional to 6,176.40, 9,259.14 and 4,722.05 is: 7,078.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176.40 : 9,259.14 = 4,722.05 : x
  2. Step 2: Convert to fraction form
    6,176.40/9,259.14 = 4,722.05/x
  3. Step 3: Cross multiply
    6,176.40x = 9,259.14 × 4,722.05
  4. Step 4: Simplify right side
    6,176.40x = 43,722,075.74
  5. Step 5: Solve for x
    x = 43,722,075.74/6,176.40
  6. Step 6: Final answer
    x = 7,078.89

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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.