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Finding the Fourth Proportional to 9,546.99, 14,330.96 and 7,585.23

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Solution

The fourth proportional to 9,546.99, 14,330.96 and 7,585.23 is: 11,386.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,546.99 : 14,330.96 = 7,585.23 : x
  2. Step 2: Convert to fraction form
    9,546.99/14,330.96 = 7,585.23/x
  3. Step 3: Cross multiply
    9,546.99x = 14,330.96 × 7,585.23
  4. Step 4: Simplify right side
    9,546.99x = 108,703,591.89
  5. Step 5: Solve for x
    x = 108,703,591.89/9,546.99
  6. Step 6: Final answer
    x = 11,386.16

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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.