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Finding the Fourth Proportional to 9,547.99, 14,332.46 and 7,586.23

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Solution

The fourth proportional to 9,547.99, 14,332.46 and 7,586.23 is: 11,387.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.99 : 14,332.46 = 7,586.23 : x
  2. Step 2: Convert to fraction form
    9,547.99/14,332.46 = 7,586.23/x
  3. Step 3: Cross multiply
    9,547.99x = 14,332.46 × 7,586.23
  4. Step 4: Simplify right side
    9,547.99x = 108,729,338.03
  5. Step 5: Solve for x
    x = 108,729,338.03/9,547.99
  6. Step 6: Final answer
    x = 11,387.67

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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.