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Finding the Fourth Proportional to 9,100.40, 12,554.35 and 6,578.51

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Solution

The fourth proportional to 9,100.40, 12,554.35 and 6,578.51 is: 9,075.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,100.40 : 12,554.35 = 6,578.51 : x
  2. Step 2: Convert to fraction form
    9,100.40/12,554.35 = 6,578.51/x
  3. Step 3: Cross multiply
    9,100.40x = 12,554.35 × 6,578.51
  4. Step 4: Simplify right side
    9,100.40x = 82,588,837.80
  5. Step 5: Solve for x
    x = 82,588,837.80/9,100.40
  6. Step 6: Final answer
    x = 9,075.30

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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.