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Finding the Fourth Proportional to 6,860.55, 9,461 and 4,172.22

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Solution

The fourth proportional to 6,860.55, 9,461 and 4,172.22 is: 5,753.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,860.55 : 9,461 = 4,172.22 : x
  2. Step 2: Convert to fraction form
    6,860.55/9,461 = 4,172.22/x
  3. Step 3: Cross multiply
    6,860.55x = 9,461 × 4,172.22
  4. Step 4: Simplify right side
    6,860.55x = 39,473,373.42
  5. Step 5: Solve for x
    x = 39,473,373.42/6,860.55
  6. Step 6: Final answer
    x = 5,753.67

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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.