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Finding the Fourth Proportional to 9,590.05, 13,233.94 and 5,397.49

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Solution

The fourth proportional to 9,590.05, 13,233.94 and 5,397.49 is: 7,448.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590.05 : 13,233.94 = 5,397.49 : x
  2. Step 2: Convert to fraction form
    9,590.05/13,233.94 = 5,397.49/x
  3. Step 3: Cross multiply
    9,590.05x = 13,233.94 × 5,397.49
  4. Step 4: Simplify right side
    9,590.05x = 71,430,058.81
  5. Step 5: Solve for x
    x = 71,430,058.81/9,590.05
  6. Step 6: Final answer
    x = 7,448.35

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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.