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Finding the Fourth Proportional to 9,769.32, 14,647.02 and 4,572.36

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Solution

The fourth proportional to 9,769.32, 14,647.02 and 4,572.36 is: 6,855.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.32 : 14,647.02 = 4,572.36 : x
  2. Step 2: Convert to fraction form
    9,769.32/14,647.02 = 4,572.36/x
  3. Step 3: Cross multiply
    9,769.32x = 14,647.02 × 4,572.36
  4. Step 4: Simplify right side
    9,769.32x = 66,971,448.37
  5. Step 5: Solve for x
    x = 66,971,448.37/9,769.32
  6. Step 6: Final answer
    x = 6,855.28

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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.