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Finding the Fourth Proportional to 9,590.40, 13,219.20 and 9,460.80

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Solution

The fourth proportional to 9,590.40, 13,219.20 and 9,460.80 is: 13,040.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590.40 : 13,219.20 = 9,460.80 : x
  2. Step 2: Convert to fraction form
    9,590.40/13,219.20 = 9,460.80/x
  3. Step 3: Cross multiply
    9,590.40x = 13,219.20 × 9,460.80
  4. Step 4: Simplify right side
    9,590.40x = 125,064,207.36
  5. Step 5: Solve for x
    x = 125,064,207.36/9,590.40
  6. Step 6: Final answer
    x = 13,040.56

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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.