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Finding the Fourth Proportional to 9,591.57, 14,387.55 and 3,017.74

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Solution

The fourth proportional to 9,591.57, 14,387.55 and 3,017.74 is: 4,526.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,591.57 : 14,387.55 = 3,017.74 : x
  2. Step 2: Convert to fraction form
    9,591.57/14,387.55 = 3,017.74/x
  3. Step 3: Cross multiply
    9,591.57x = 14,387.55 × 3,017.74
  4. Step 4: Simplify right side
    9,591.57x = 43,417,885.14
  5. Step 5: Solve for x
    x = 43,417,885.14/9,591.57
  6. Step 6: Final answer
    x = 4,526.67

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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.