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Finding the Fourth Proportional to 6,130.84, 9,200.88 and 4,491.58

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Solution

The fourth proportional to 6,130.84, 9,200.88 and 4,491.58 is: 6,740.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.84 : 9,200.88 = 4,491.58 : x
  2. Step 2: Convert to fraction form
    6,130.84/9,200.88 = 4,491.58/x
  3. Step 3: Cross multiply
    6,130.84x = 9,200.88 × 4,491.58
  4. Step 4: Simplify right side
    6,130.84x = 41,326,488.59
  5. Step 5: Solve for x
    x = 41,326,488.59/6,130.84
  6. Step 6: Final answer
    x = 6,740.75

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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.