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Finding the Fourth Proportional to 6,075.41, 9,098.93 and 4,677.65

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Solution

The fourth proportional to 6,075.41, 9,098.93 and 4,677.65 is: 7,005.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,075.41 : 9,098.93 = 4,677.65 : x
  2. Step 2: Convert to fraction form
    6,075.41/9,098.93 = 4,677.65/x
  3. Step 3: Cross multiply
    6,075.41x = 9,098.93 × 4,677.65
  4. Step 4: Simplify right side
    6,075.41x = 42,561,541.03
  5. Step 5: Solve for x
    x = 42,561,541.03/6,075.41
  6. Step 6: Final answer
    x = 7,005.55

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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.