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Finding the Fourth Proportional to 9,557.34, 13,199.13 and 6,580.86

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Solution

The fourth proportional to 9,557.34, 13,199.13 and 6,580.86 is: 9,088.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,557.34 : 13,199.13 = 6,580.86 : x
  2. Step 2: Convert to fraction form
    9,557.34/13,199.13 = 6,580.86/x
  3. Step 3: Cross multiply
    9,557.34x = 13,199.13 × 6,580.86
  4. Step 4: Simplify right side
    9,557.34x = 86,861,626.65
  5. Step 5: Solve for x
    x = 86,861,626.65/9,557.34
  6. Step 6: Final answer
    x = 9,088.47

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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.