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Finding the Fourth Proportional to 7,125.70, 9,830.46 and 4,768.60

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Solution

The fourth proportional to 7,125.70, 9,830.46 and 4,768.60 is: 6,578.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,125.70 : 9,830.46 = 4,768.60 : x
  2. Step 2: Convert to fraction form
    7,125.70/9,830.46 = 4,768.60/x
  3. Step 3: Cross multiply
    7,125.70x = 9,830.46 × 4,768.60
  4. Step 4: Simplify right side
    7,125.70x = 46,877,531.56
  5. Step 5: Solve for x
    x = 46,877,531.56/7,125.70
  6. Step 6: Final answer
    x = 6,578.66

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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.