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Finding the Fourth Proportional to 9,387.84, 12,950.84 and 5,406.64

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Solution

The fourth proportional to 9,387.84, 12,950.84 and 5,406.64 is: 7,458.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,387.84 : 12,950.84 = 5,406.64 : x
  2. Step 2: Convert to fraction form
    9,387.84/12,950.84 = 5,406.64/x
  3. Step 3: Cross multiply
    9,387.84x = 12,950.84 × 5,406.64
  4. Step 4: Simplify right side
    9,387.84x = 70,020,502.54
  5. Step 5: Solve for x
    x = 70,020,502.54/9,387.84
  6. Step 6: Final answer
    x = 7,458.64

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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.