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Finding the Fourth Proportional to 9,607.44, 13,261.68 and 5,830.68

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Solution

The fourth proportional to 9,607.44, 13,261.68 and 5,830.68 is: 8,048.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.44 : 13,261.68 = 5,830.68 : x
  2. Step 2: Convert to fraction form
    9,607.44/13,261.68 = 5,830.68/x
  3. Step 3: Cross multiply
    9,607.44x = 13,261.68 × 5,830.68
  4. Step 4: Simplify right side
    9,607.44x = 77,324,612.34
  5. Step 5: Solve for x
    x = 77,324,612.34/9,607.44
  6. Step 6: Final answer
    x = 8,048.41

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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.