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Finding the Fourth Proportional to 9,075.24, 13,624.38 and 7,715.88

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Solution

The fourth proportional to 9,075.24, 13,624.38 and 7,715.88 is: 11,583.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,075.24 : 13,624.38 = 7,715.88 : x
  2. Step 2: Convert to fraction form
    9,075.24/13,624.38 = 7,715.88/x
  3. Step 3: Cross multiply
    9,075.24x = 13,624.38 × 7,715.88
  4. Step 4: Simplify right side
    9,075.24x = 105,124,081.15
  5. Step 5: Solve for x
    x = 105,124,081.15/9,075.24
  6. Step 6: Final answer
    x = 11,583.61

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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.