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Finding the Fourth Proportional to 9,329.86, 12,875.19 and 5,138.11

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Solution

The fourth proportional to 9,329.86, 12,875.19 and 5,138.11 is: 7,090.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,329.86 : 12,875.19 = 5,138.11 : x
  2. Step 2: Convert to fraction form
    9,329.86/12,875.19 = 5,138.11/x
  3. Step 3: Cross multiply
    9,329.86x = 12,875.19 × 5,138.11
  4. Step 4: Simplify right side
    9,329.86x = 66,154,142.49
  5. Step 5: Solve for x
    x = 66,154,142.49/9,329.86
  6. Step 6: Final answer
    x = 7,090.58

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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.