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Finding the Fourth Proportional to 9,783.12, 14,663.88 and 3,855.60

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Solution

The fourth proportional to 9,783.12, 14,663.88 and 3,855.60 is: 5,779.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.12 : 14,663.88 = 3,855.60 : x
  2. Step 2: Convert to fraction form
    9,783.12/14,663.88 = 3,855.60/x
  3. Step 3: Cross multiply
    9,783.12x = 14,663.88 × 3,855.60
  4. Step 4: Simplify right side
    9,783.12x = 56,538,055.73
  5. Step 5: Solve for x
    x = 56,538,055.73/9,783.12
  6. Step 6: Final answer
    x = 5,779.14

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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.