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Finding the Fourth Proportional to 9,130.04, 13,672.98 and 5,222.60

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Solution

The fourth proportional to 9,130.04, 13,672.98 and 5,222.60 is: 7,821.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.04 : 13,672.98 = 5,222.60 : x
  2. Step 2: Convert to fraction form
    9,130.04/13,672.98 = 5,222.60/x
  3. Step 3: Cross multiply
    9,130.04x = 13,672.98 × 5,222.60
  4. Step 4: Simplify right side
    9,130.04x = 71,408,505.35
  5. Step 5: Solve for x
    x = 71,408,505.35/9,130.04
  6. Step 6: Final answer
    x = 7,821.27

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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.