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Finding the Fourth Proportional to 9,783.76, 14,677.44 and 3,210.28

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Solution

The fourth proportional to 9,783.76, 14,677.44 and 3,210.28 is: 4,816.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.76 : 14,677.44 = 3,210.28 : x
  2. Step 2: Convert to fraction form
    9,783.76/14,677.44 = 3,210.28/x
  3. Step 3: Cross multiply
    9,783.76x = 14,677.44 × 3,210.28
  4. Step 4: Simplify right side
    9,783.76x = 47,118,692.08
  5. Step 5: Solve for x
    x = 47,118,692.08/9,783.76
  6. Step 6: Final answer
    x = 4,816.01

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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.