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Finding the Fourth Proportional to 9,486.09, 14,196.18 and 7,800.08

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Solution

The fourth proportional to 9,486.09, 14,196.18 and 7,800.08 is: 11,673.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.09 : 14,196.18 = 7,800.08 : x
  2. Step 2: Convert to fraction form
    9,486.09/14,196.18 = 7,800.08/x
  3. Step 3: Cross multiply
    9,486.09x = 14,196.18 × 7,800.08
  4. Step 4: Simplify right side
    9,486.09x = 110,731,268.71
  5. Step 5: Solve for x
    x = 110,731,268.71/9,486.09
  6. Step 6: Final answer
    x = 11,673.01

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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.