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Finding the Fourth Proportional to 9,894.15, 14,833.53 and 4,047.57

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Solution

The fourth proportional to 9,894.15, 14,833.53 and 4,047.57 is: 6,068.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.15 : 14,833.53 = 4,047.57 : x
  2. Step 2: Convert to fraction form
    9,894.15/14,833.53 = 4,047.57/x
  3. Step 3: Cross multiply
    9,894.15x = 14,833.53 × 4,047.57
  4. Step 4: Simplify right side
    9,894.15x = 60,039,751.02
  5. Step 5: Solve for x
    x = 60,039,751.02/9,894.15
  6. Step 6: Final answer
    x = 6,068.21

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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.