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Finding the Fourth Proportional to 9,105.86, 12,566.32 and 5,127.12

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Solution

The fourth proportional to 9,105.86, 12,566.32 and 5,127.12 is: 7,075.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.86 : 12,566.32 = 5,127.12 : x
  2. Step 2: Convert to fraction form
    9,105.86/12,566.32 = 5,127.12/x
  3. Step 3: Cross multiply
    9,105.86x = 12,566.32 × 5,127.12
  4. Step 4: Simplify right side
    9,105.86x = 64,429,030.60
  5. Step 5: Solve for x
    x = 64,429,030.60/9,105.86
  6. Step 6: Final answer
    x = 7,075.56

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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.