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Finding the Fourth Proportional to 6,142.80, 9,214.20 and 6,106.35

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Solution

The fourth proportional to 6,142.80, 9,214.20 and 6,106.35 is: 9,159.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.80 : 9,214.20 = 6,106.35 : x
  2. Step 2: Convert to fraction form
    6,142.80/9,214.20 = 6,106.35/x
  3. Step 3: Cross multiply
    6,142.80x = 9,214.20 × 6,106.35
  4. Step 4: Simplify right side
    6,142.80x = 56,265,130.17
  5. Step 5: Solve for x
    x = 56,265,130.17/6,142.80
  6. Step 6: Final answer
    x = 9,159.53

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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.