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Finding the Fourth Proportional to 6,070.34, 9,105.98 and 5,344.98

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Solution

The fourth proportional to 6,070.34, 9,105.98 and 5,344.98 is: 8,017.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,070.34 : 9,105.98 = 5,344.98 : x
  2. Step 2: Convert to fraction form
    6,070.34/9,105.98 = 5,344.98/x
  3. Step 3: Cross multiply
    6,070.34x = 9,105.98 × 5,344.98
  4. Step 4: Simplify right side
    6,070.34x = 48,671,254.26
  5. Step 5: Solve for x
    x = 48,671,254.26/6,070.34
  6. Step 6: Final answer
    x = 8,017.89

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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.