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Finding the Fourth Proportional to 9,566.47, 14,349.57 and 4,636.54

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Solution

The fourth proportional to 9,566.47, 14,349.57 and 4,636.54 is: 6,954.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566.47 : 14,349.57 = 4,636.54 : x
  2. Step 2: Convert to fraction form
    9,566.47/14,349.57 = 4,636.54/x
  3. Step 3: Cross multiply
    9,566.47x = 14,349.57 × 4,636.54
  4. Step 4: Simplify right side
    9,566.47x = 66,532,355.29
  5. Step 5: Solve for x
    x = 66,532,355.29/9,566.47
  6. Step 6: Final answer
    x = 6,954.74

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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.