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Finding the Fourth Proportional to 9,119.76, 12,585.25 and 5,140.85

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Solution

The fourth proportional to 9,119.76, 12,585.25 and 5,140.85 is: 7,094.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,119.76 : 12,585.25 = 5,140.85 : x
  2. Step 2: Convert to fraction form
    9,119.76/12,585.25 = 5,140.85/x
  3. Step 3: Cross multiply
    9,119.76x = 12,585.25 × 5,140.85
  4. Step 4: Simplify right side
    9,119.76x = 64,698,888.28
  5. Step 5: Solve for x
    x = 64,698,888.28/9,119.76
  6. Step 6: Final answer
    x = 7,094.36

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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.