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Finding the Fourth Proportional to 6,090.10, 9,145.95 and 4,706.80

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Solution

The fourth proportional to 6,090.10, 9,145.95 and 4,706.80 is: 7,068.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,090.10 : 9,145.95 = 4,706.80 : x
  2. Step 2: Convert to fraction form
    6,090.10/9,145.95 = 4,706.80/x
  3. Step 3: Cross multiply
    6,090.10x = 9,145.95 × 4,706.80
  4. Step 4: Simplify right side
    6,090.10x = 43,048,157.46
  5. Step 5: Solve for x
    x = 43,048,157.46/6,090.10
  6. Step 6: Final answer
    x = 7,068.55

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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.