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Finding the Fourth Proportional to 7,032.83, 9,708.49 and 4,766.98

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Solution

The fourth proportional to 7,032.83, 9,708.49 and 4,766.98 is: 6,580.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,032.83 : 9,708.49 = 4,766.98 : x
  2. Step 2: Convert to fraction form
    7,032.83/9,708.49 = 4,766.98/x
  3. Step 3: Cross multiply
    7,032.83x = 9,708.49 × 4,766.98
  4. Step 4: Simplify right side
    7,032.83x = 46,280,125.11
  5. Step 5: Solve for x
    x = 46,280,125.11/7,032.83
  6. Step 6: Final answer
    x = 6,580.59

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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.