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Finding the Fourth Proportional to 9,075.36, 13,574.16 and 5,368.80

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Solution

The fourth proportional to 9,075.36, 13,574.16 and 5,368.80 is: 8,030.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,075.36 : 13,574.16 = 5,368.80 : x
  2. Step 2: Convert to fraction form
    9,075.36/13,574.16 = 5,368.80/x
  3. Step 3: Cross multiply
    9,075.36x = 13,574.16 × 5,368.80
  4. Step 4: Simplify right side
    9,075.36x = 72,876,950.21
  5. Step 5: Solve for x
    x = 72,876,950.21/9,075.36
  6. Step 6: Final answer
    x = 8,030.20

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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.