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Finding the Fourth Proportional to 9,774.12, 14,680.88 and 5,833.08

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Solution

The fourth proportional to 9,774.12, 14,680.88 and 5,833.08 is: 8,761.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.12 : 14,680.88 = 5,833.08 : x
  2. Step 2: Convert to fraction form
    9,774.12/14,680.88 = 5,833.08/x
  3. Step 3: Cross multiply
    9,774.12x = 14,680.88 × 5,833.08
  4. Step 4: Simplify right side
    9,774.12x = 85,634,747.51
  5. Step 5: Solve for x
    x = 85,634,747.51/9,774.12
  6. Step 6: Final answer
    x = 8,761.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.