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Finding the Fourth Proportional to 9,509.78, 13,132.06 and 6,158

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Solution

The fourth proportional to 9,509.78, 13,132.06 and 6,158 is: 8,503.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.78 : 13,132.06 = 6,158 : x
  2. Step 2: Convert to fraction form
    9,509.78/13,132.06 = 6,158/x
  3. Step 3: Cross multiply
    9,509.78x = 13,132.06 × 6,158
  4. Step 4: Simplify right side
    9,509.78x = 80,867,225.48
  5. Step 5: Solve for x
    x = 80,867,225.48/9,509.78
  6. Step 6: Final answer
    x = 8,503.59

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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.