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Finding the Fourth Proportional to 9,894.57, 14,849.12 and 7,970.01

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Solution

The fourth proportional to 9,894.57, 14,849.12 and 7,970.01 is: 11,960.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.57 : 14,849.12 = 7,970.01 : x
  2. Step 2: Convert to fraction form
    9,894.57/14,849.12 = 7,970.01/x
  3. Step 3: Cross multiply
    9,894.57x = 14,849.12 × 7,970.01
  4. Step 4: Simplify right side
    9,894.57x = 118,347,634.89
  5. Step 5: Solve for x
    x = 118,347,634.89/9,894.57
  6. Step 6: Final answer
    x = 11,960.87

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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.