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Finding the Fourth Proportional to 9,419.32, 13,001.34 and 7,543.96

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Solution

The fourth proportional to 9,419.32, 13,001.34 and 7,543.96 is: 10,412.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.32 : 13,001.34 = 7,543.96 : x
  2. Step 2: Convert to fraction form
    9,419.32/13,001.34 = 7,543.96/x
  3. Step 3: Cross multiply
    9,419.32x = 13,001.34 × 7,543.96
  4. Step 4: Simplify right side
    9,419.32x = 98,081,588.91
  5. Step 5: Solve for x
    x = 98,081,588.91/9,419.32
  6. Step 6: Final answer
    x = 10,412.81

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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.