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Finding the Fourth Proportional to 9,867.56, 14,780.30 and 7,985.39

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Solution

The fourth proportional to 9,867.56, 14,780.30 and 7,985.39 is: 11,961.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,867.56 : 14,780.30 = 7,985.39 : x
  2. Step 2: Convert to fraction form
    9,867.56/14,780.30 = 7,985.39/x
  3. Step 3: Cross multiply
    9,867.56x = 14,780.30 × 7,985.39
  4. Step 4: Simplify right side
    9,867.56x = 118,026,345.99
  5. Step 5: Solve for x
    x = 118,026,345.99/9,867.56
  6. Step 6: Final answer
    x = 11,961.05

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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.