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Finding the Fourth Proportional to 9,497.95, 14,246.93 and 2,477.95

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Solution

The fourth proportional to 9,497.95, 14,246.93 and 2,477.95 is: 3,716.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.95 : 14,246.93 = 2,477.95 : x
  2. Step 2: Convert to fraction form
    9,497.95/14,246.93 = 2,477.95/x
  3. Step 3: Cross multiply
    9,497.95x = 14,246.93 × 2,477.95
  4. Step 4: Simplify right side
    9,497.95x = 35,303,194.90
  5. Step 5: Solve for x
    x = 35,303,194.90/9,497.95
  6. Step 6: Final answer
    x = 3,716.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.