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Finding the Fourth Proportional to 30,456.34, 45,688.80 and 9,398.09

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Solution

The fourth proportional to 30,456.34, 45,688.80 and 9,398.09 is: 14,098.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,456.34 : 45,688.80 = 9,398.09 : x
  2. Step 2: Convert to fraction form
    30,456.34/45,688.80 = 9,398.09/x
  3. Step 3: Cross multiply
    30,456.34x = 45,688.80 × 9,398.09
  4. Step 4: Simplify right side
    30,456.34x = 429,387,465.33
  5. Step 5: Solve for x
    x = 429,387,465.33/30,456.34
  6. Step 6: Final answer
    x = 14,098.46

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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.