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Finding the Fourth Proportional to 9,316.66, 12,862.89 and 5,783.62

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Solution

The fourth proportional to 9,316.66, 12,862.89 and 5,783.62 is: 7,985.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,316.66 : 12,862.89 = 5,783.62 : x
  2. Step 2: Convert to fraction form
    9,316.66/12,862.89 = 5,783.62/x
  3. Step 3: Cross multiply
    9,316.66x = 12,862.89 × 5,783.62
  4. Step 4: Simplify right side
    9,316.66x = 74,394,067.86
  5. Step 5: Solve for x
    x = 74,394,067.86/9,316.66
  6. Step 6: Final answer
    x = 7,985.06

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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.