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Finding the Fourth Proportional to 9,602.72, 14,398.60 and 4,666.18

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Solution

The fourth proportional to 9,602.72, 14,398.60 and 4,666.18 is: 6,996.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.72 : 14,398.60 = 4,666.18 : x
  2. Step 2: Convert to fraction form
    9,602.72/14,398.60 = 4,666.18/x
  3. Step 3: Cross multiply
    9,602.72x = 14,398.60 × 4,666.18
  4. Step 4: Simplify right side
    9,602.72x = 67,186,459.35
  5. Step 5: Solve for x
    x = 67,186,459.35/9,602.72
  6. Step 6: Final answer
    x = 6,996.61

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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.