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Finding the Fourth Proportional to 9,075.32, 12,531.82 and 5,724.12

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Solution

The fourth proportional to 9,075.32, 12,531.82 and 5,724.12 is: 7,904.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,075.32 : 12,531.82 = 5,724.12 : x
  2. Step 2: Convert to fraction form
    9,075.32/12,531.82 = 5,724.12/x
  3. Step 3: Cross multiply
    9,075.32x = 12,531.82 × 5,724.12
  4. Step 4: Simplify right side
    9,075.32x = 71,733,641.50
  5. Step 5: Solve for x
    x = 71,733,641.50/9,075.32
  6. Step 6: Final answer
    x = 7,904.25

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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.