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Finding the Fourth Proportional to 9,307.14, 12,833.36 and 6,784.80

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Solution

The fourth proportional to 9,307.14, 12,833.36 and 6,784.80 is: 9,355.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.14 : 12,833.36 = 6,784.80 : x
  2. Step 2: Convert to fraction form
    9,307.14/12,833.36 = 6,784.80/x
  3. Step 3: Cross multiply
    9,307.14x = 12,833.36 × 6,784.80
  4. Step 4: Simplify right side
    9,307.14x = 87,071,780.93
  5. Step 5: Solve for x
    x = 87,071,780.93/9,307.14
  6. Step 6: Final answer
    x = 9,355.37

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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.