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Finding the Fourth Proportional to 9,637.06, 13,298.97 and 5,445.22

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Solution

The fourth proportional to 9,637.06, 13,298.97 and 5,445.22 is: 7,514.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637.06 : 13,298.97 = 5,445.22 : x
  2. Step 2: Convert to fraction form
    9,637.06/13,298.97 = 5,445.22/x
  3. Step 3: Cross multiply
    9,637.06x = 13,298.97 × 5,445.22
  4. Step 4: Simplify right side
    9,637.06x = 72,415,817.42
  5. Step 5: Solve for x
    x = 72,415,817.42/9,637.06
  6. Step 6: Final answer
    x = 7,514.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.