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Finding the Fourth Proportional to 9,768.95, 14,599.81 and 7,141.98

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Solution

The fourth proportional to 9,768.95, 14,599.81 and 7,141.98 is: 10,673.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.95 : 14,599.81 = 7,141.98 : x
  2. Step 2: Convert to fraction form
    9,768.95/14,599.81 = 7,141.98/x
  3. Step 3: Cross multiply
    9,768.95x = 14,599.81 × 7,141.98
  4. Step 4: Simplify right side
    9,768.95x = 104,271,551.02
  5. Step 5: Solve for x
    x = 104,271,551.02/9,768.95
  6. Step 6: Final answer
    x = 10,673.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.