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Finding the Fourth Proportional to 9,859.20, 14,783.40 and 4,009.20

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Solution

The fourth proportional to 9,859.20, 14,783.40 and 4,009.20 is: 6,011.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,859.20 : 14,783.40 = 4,009.20 : x
  2. Step 2: Convert to fraction form
    9,859.20/14,783.40 = 4,009.20/x
  3. Step 3: Cross multiply
    9,859.20x = 14,783.40 × 4,009.20
  4. Step 4: Simplify right side
    9,859.20x = 59,269,607.28
  5. Step 5: Solve for x
    x = 59,269,607.28/9,859.20
  6. Step 6: Final answer
    x = 6,011.60

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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.