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Finding the Fourth Proportional to 9,594.75, 14,368.08 and 6,074.13

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Solution

The fourth proportional to 9,594.75, 14,368.08 and 6,074.13 is: 9,095.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.75 : 14,368.08 = 6,074.13 : x
  2. Step 2: Convert to fraction form
    9,594.75/14,368.08 = 6,074.13/x
  3. Step 3: Cross multiply
    9,594.75x = 14,368.08 × 6,074.13
  4. Step 4: Simplify right side
    9,594.75x = 87,273,585.77
  5. Step 5: Solve for x
    x = 87,273,585.77/9,594.75
  6. Step 6: Final answer
    x = 9,095.97

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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.