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Finding the Fourth Proportional to 9,636.47, 14,460.17 and 4,442.34

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Solution

The fourth proportional to 9,636.47, 14,460.17 and 4,442.34 is: 6,666.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,636.47 : 14,460.17 = 4,442.34 : x
  2. Step 2: Convert to fraction form
    9,636.47/14,460.17 = 4,442.34/x
  3. Step 3: Cross multiply
    9,636.47x = 14,460.17 × 4,442.34
  4. Step 4: Simplify right side
    9,636.47x = 64,237,048.60
  5. Step 5: Solve for x
    x = 64,237,048.60/9,636.47
  6. Step 6: Final answer
    x = 6,666.04

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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.