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Finding the Fourth Proportional to 6,830.67, 9,432 and 4,599.93

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Solution

The fourth proportional to 6,830.67, 9,432 and 4,599.93 is: 6,351.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.67 : 9,432 = 4,599.93 : x
  2. Step 2: Convert to fraction form
    6,830.67/9,432 = 4,599.93/x
  3. Step 3: Cross multiply
    6,830.67x = 9,432 × 4,599.93
  4. Step 4: Simplify right side
    6,830.67x = 43,386,539.76
  5. Step 5: Solve for x
    x = 43,386,539.76/6,830.67
  6. Step 6: Final answer
    x = 6,351.73

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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.