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Finding the Fourth Proportional to 9,307.80, 12,830.94 and 6,158.52

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Solution

The fourth proportional to 9,307.80, 12,830.94 and 6,158.52 is: 8,489.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.80 : 12,830.94 = 6,158.52 : x
  2. Step 2: Convert to fraction form
    9,307.80/12,830.94 = 6,158.52/x
  3. Step 3: Cross multiply
    9,307.80x = 12,830.94 × 6,158.52
  4. Step 4: Simplify right side
    9,307.80x = 79,019,600.61
  5. Step 5: Solve for x
    x = 79,019,600.61/9,307.80
  6. Step 6: Final answer
    x = 8,489.61

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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.