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Finding the Fourth Proportional to 29,841.56, 44,763.34 and 9,065

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Solution

The fourth proportional to 29,841.56, 44,763.34 and 9,065 is: 13,597.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,841.56 : 44,763.34 = 9,065 : x
  2. Step 2: Convert to fraction form
    29,841.56/44,763.34 = 9,065/x
  3. Step 3: Cross multiply
    29,841.56x = 44,763.34 × 9,065
  4. Step 4: Simplify right side
    29,841.56x = 405,779,677.10
  5. Step 5: Solve for x
    x = 405,779,677.10/29,841.56
  6. Step 6: Final answer
    x = 13,597.80

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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.