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Finding the Fourth Proportional to 9,485.09, 13,075.82 and 7,465

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Solution

The fourth proportional to 9,485.09, 13,075.82 and 7,465 is: 10,290.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,485.09 : 13,075.82 = 7,465 : x
  2. Step 2: Convert to fraction form
    9,485.09/13,075.82 = 7,465/x
  3. Step 3: Cross multiply
    9,485.09x = 13,075.82 × 7,465
  4. Step 4: Simplify right side
    9,485.09x = 97,610,958.98
  5. Step 5: Solve for x
    x = 97,610,958.98/9,485.09
  6. Step 6: Final answer
    x = 10,290.99

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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.