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Finding the Fourth Proportional to 9,419.68, 14,130.32 and 2,494.08

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Solution

The fourth proportional to 9,419.68, 14,130.32 and 2,494.08 is: 3,741.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.68 : 14,130.32 = 2,494.08 : x
  2. Step 2: Convert to fraction form
    9,419.68/14,130.32 = 2,494.08/x
  3. Step 3: Cross multiply
    9,419.68x = 14,130.32 × 2,494.08
  4. Step 4: Simplify right side
    9,419.68x = 35,242,148.51
  5. Step 5: Solve for x
    x = 35,242,148.51/9,419.68
  6. Step 6: Final answer
    x = 3,741.33

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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.