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Finding the Fourth Proportional to 9,605.16, 13,261.23 and 6,585.30

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Solution

The fourth proportional to 9,605.16, 13,261.23 and 6,585.30 is: 9,091.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.16 : 13,261.23 = 6,585.30 : x
  2. Step 2: Convert to fraction form
    9,605.16/13,261.23 = 6,585.30/x
  3. Step 3: Cross multiply
    9,605.16x = 13,261.23 × 6,585.30
  4. Step 4: Simplify right side
    9,605.16x = 87,329,177.92
  5. Step 5: Solve for x
    x = 87,329,177.92/9,605.16
  6. Step 6: Final answer
    x = 9,091.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.