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Finding the Fourth Proportional to 9,358.68, 14,036.40 and 3,514.08

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Solution

The fourth proportional to 9,358.68, 14,036.40 and 3,514.08 is: 5,270.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,358.68 : 14,036.40 = 3,514.08 : x
  2. Step 2: Convert to fraction form
    9,358.68/14,036.40 = 3,514.08/x
  3. Step 3: Cross multiply
    9,358.68x = 14,036.40 × 3,514.08
  4. Step 4: Simplify right side
    9,358.68x = 49,325,032.51
  5. Step 5: Solve for x
    x = 49,325,032.51/9,358.68
  6. Step 6: Final answer
    x = 5,270.51

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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.