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Finding the Fourth Proportional to 6,075.16, 9,114.01 and 2,565.17

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Solution

The fourth proportional to 6,075.16, 9,114.01 and 2,565.17 is: 3,848.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,075.16 : 9,114.01 = 2,565.17 : x
  2. Step 2: Convert to fraction form
    6,075.16/9,114.01 = 2,565.17/x
  3. Step 3: Cross multiply
    6,075.16x = 9,114.01 × 2,565.17
  4. Step 4: Simplify right side
    6,075.16x = 23,379,002.07
  5. Step 5: Solve for x
    x = 23,379,002.07/6,075.16
  6. Step 6: Final answer
    x = 3,848.30

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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.