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Finding the Fourth Proportional to 9,384.86, 12,950.74 and 5,405.18

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Solution

The fourth proportional to 9,384.86, 12,950.74 and 5,405.18 is: 7,458.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.86 : 12,950.74 = 5,405.18 : x
  2. Step 2: Convert to fraction form
    9,384.86/12,950.74 = 5,405.18/x
  3. Step 3: Cross multiply
    9,384.86x = 12,950.74 × 5,405.18
  4. Step 4: Simplify right side
    9,384.86x = 70,001,065.28
  5. Step 5: Solve for x
    x = 70,001,065.28/9,384.86
  6. Step 6: Final answer
    x = 7,458.93

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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.