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Finding the Fourth Proportional to 9,597.74, 14,382.50 and 4,661.73

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Solution

The fourth proportional to 9,597.74, 14,382.50 and 4,661.73 is: 6,985.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.74 : 14,382.50 = 4,661.73 : x
  2. Step 2: Convert to fraction form
    9,597.74/14,382.50 = 4,661.73/x
  3. Step 3: Cross multiply
    9,597.74x = 14,382.50 × 4,661.73
  4. Step 4: Simplify right side
    9,597.74x = 67,047,308.42
  5. Step 5: Solve for x
    x = 67,047,308.42/9,597.74
  6. Step 6: Final answer
    x = 6,985.74

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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.