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Finding the Fourth Proportional to 6,075.34, 9,114.30 and 3,444.08

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Solution

The fourth proportional to 6,075.34, 9,114.30 and 3,444.08 is: 5,166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,075.34 : 9,114.30 = 3,444.08 : x
  2. Step 2: Convert to fraction form
    6,075.34/9,114.30 = 3,444.08/x
  3. Step 3: Cross multiply
    6,075.34x = 9,114.30 × 3,444.08
  4. Step 4: Simplify right side
    6,075.34x = 31,390,332.77
  5. Step 5: Solve for x
    x = 31,390,332.77/6,075.34
  6. Step 6: Final answer
    x = 5,166.85

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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.