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Finding the Fourth Proportional to 9,666.46, 14,501.51 and 3,090.88

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Solution

The fourth proportional to 9,666.46, 14,501.51 and 3,090.88 is: 4,636.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.46 : 14,501.51 = 3,090.88 : x
  2. Step 2: Convert to fraction form
    9,666.46/14,501.51 = 3,090.88/x
  3. Step 3: Cross multiply
    9,666.46x = 14,501.51 × 3,090.88
  4. Step 4: Simplify right side
    9,666.46x = 44,822,398.70
  5. Step 5: Solve for x
    x = 44,822,398.70/9,666.46
  6. Step 6: Final answer
    x = 4,636.90

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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.