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Finding the Fourth Proportional to 9,894.32, 14,848.74 and 7,969.76

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Solution

The fourth proportional to 9,894.32, 14,848.74 and 7,969.76 is: 11,960.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.32 : 14,848.74 = 7,969.76 : x
  2. Step 2: Convert to fraction form
    9,894.32/14,848.74 = 7,969.76/x
  3. Step 3: Cross multiply
    9,894.32x = 14,848.74 × 7,969.76
  4. Step 4: Simplify right side
    9,894.32x = 118,340,894.10
  5. Step 5: Solve for x
    x = 118,340,894.10/9,894.32
  6. Step 6: Final answer
    x = 11,960.49

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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.