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Finding the Fourth Proportional to 9,133.86, 12,605.31 and 5,153.52

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Solution

The fourth proportional to 9,133.86, 12,605.31 and 5,153.52 is: 7,112.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,133.86 : 12,605.31 = 5,153.52 : x
  2. Step 2: Convert to fraction form
    9,133.86/12,605.31 = 5,153.52/x
  3. Step 3: Cross multiply
    9,133.86x = 12,605.31 × 5,153.52
  4. Step 4: Simplify right side
    9,133.86x = 64,961,717.19
  5. Step 5: Solve for x
    x = 64,961,717.19/9,133.86
  6. Step 6: Final answer
    x = 7,112.19

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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.