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Finding the Fourth Proportional to 9,643.86, 13,338.27 and 9,152.19

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Solution

The fourth proportional to 9,643.86, 13,338.27 and 9,152.19 is: 12,658.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.86 : 13,338.27 = 9,152.19 : x
  2. Step 2: Convert to fraction form
    9,643.86/13,338.27 = 9,152.19/x
  3. Step 3: Cross multiply
    9,643.86x = 13,338.27 × 9,152.19
  4. Step 4: Simplify right side
    9,643.86x = 122,074,381.31
  5. Step 5: Solve for x
    x = 122,074,381.31/9,643.86
  6. Step 6: Final answer
    x = 12,658.25

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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.