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Finding the Fourth Proportional to 9,055.63, 12,496.09 and 5,075.98

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Solution

The fourth proportional to 9,055.63, 12,496.09 and 5,075.98 is: 7,004.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,055.63 : 12,496.09 = 5,075.98 : x
  2. Step 2: Convert to fraction form
    9,055.63/12,496.09 = 5,075.98/x
  3. Step 3: Cross multiply
    9,055.63x = 12,496.09 × 5,075.98
  4. Step 4: Simplify right side
    9,055.63x = 63,429,938.80
  5. Step 5: Solve for x
    x = 63,429,938.80/9,055.63
  6. Step 6: Final answer
    x = 7,004.47

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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.