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Finding the Fourth Proportional to 9,732.90, 14,599.23 and 6,605.16

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Solution

The fourth proportional to 9,732.90, 14,599.23 and 6,605.16 is: 9,907.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.90 : 14,599.23 = 6,605.16 : x
  2. Step 2: Convert to fraction form
    9,732.90/14,599.23 = 6,605.16/x
  3. Step 3: Cross multiply
    9,732.90x = 14,599.23 × 6,605.16
  4. Step 4: Simplify right side
    9,732.90x = 96,430,250.03
  5. Step 5: Solve for x
    x = 96,430,250.03/9,732.90
  6. Step 6: Final answer
    x = 9,907.66

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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.