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Finding the Fourth Proportional to 9,329.72, 12,875.10 and 5,138.12

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Solution

The fourth proportional to 9,329.72, 12,875.10 and 5,138.12 is: 7,090.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,329.72 : 12,875.10 = 5,138.12 : x
  2. Step 2: Convert to fraction form
    9,329.72/12,875.10 = 5,138.12/x
  3. Step 3: Cross multiply
    9,329.72x = 12,875.10 × 5,138.12
  4. Step 4: Simplify right side
    9,329.72x = 66,153,808.81
  5. Step 5: Solve for x
    x = 66,153,808.81/9,329.72
  6. Step 6: Final answer
    x = 7,090.65

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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.