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Finding the Fourth Proportional to 9,108.58, 12,570.04 and 5,075.67

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Solution

The fourth proportional to 9,108.58, 12,570.04 and 5,075.67 is: 7,004.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,108.58 : 12,570.04 = 5,075.67 : x
  2. Step 2: Convert to fraction form
    9,108.58/12,570.04 = 5,075.67/x
  3. Step 3: Cross multiply
    9,108.58x = 12,570.04 × 5,075.67
  4. Step 4: Simplify right side
    9,108.58x = 63,801,312.08
  5. Step 5: Solve for x
    x = 63,801,312.08/9,108.58
  6. Step 6: Final answer
    x = 7,004.53

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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.