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Finding the Fourth Proportional to 9,075.69, 12,525.21 and 5,097.60

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Solution

The fourth proportional to 9,075.69, 12,525.21 and 5,097.60 is: 7,035.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,075.69 : 12,525.21 = 5,097.60 : x
  2. Step 2: Convert to fraction form
    9,075.69/12,525.21 = 5,097.60/x
  3. Step 3: Cross multiply
    9,075.69x = 12,525.21 × 5,097.60
  4. Step 4: Simplify right side
    9,075.69x = 63,848,510.50
  5. Step 5: Solve for x
    x = 63,848,510.50/9,075.69
  6. Step 6: Final answer
    x = 7,035.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.