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Finding the Fourth Proportional to 6,130.63, 9,200.55 and 4,491.40

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Solution

The fourth proportional to 6,130.63, 9,200.55 and 4,491.40 is: 6,740.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.63 : 9,200.55 = 4,491.40 : x
  2. Step 2: Convert to fraction form
    6,130.63/9,200.55 = 4,491.40/x
  3. Step 3: Cross multiply
    6,130.63x = 9,200.55 × 4,491.40
  4. Step 4: Simplify right side
    6,130.63x = 41,323,350.27
  5. Step 5: Solve for x
    x = 41,323,350.27/6,130.63
  6. Step 6: Final answer
    x = 6,740.47

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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.