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Finding the Fourth Proportional to 9,771.58, 14,657.23 and 2,376.02

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Solution

The fourth proportional to 9,771.58, 14,657.23 and 2,376.02 is: 3,564.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.58 : 14,657.23 = 2,376.02 : x
  2. Step 2: Convert to fraction form
    9,771.58/14,657.23 = 2,376.02/x
  3. Step 3: Cross multiply
    9,771.58x = 14,657.23 × 2,376.02
  4. Step 4: Simplify right side
    9,771.58x = 34,825,871.62
  5. Step 5: Solve for x
    x = 34,825,871.62/9,771.58
  6. Step 6: Final answer
    x = 3,564.00

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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.