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Finding the Fourth Proportional to 35,639.34, 53,459.42 and 9,346.74

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Solution

The fourth proportional to 35,639.34, 53,459.42 and 9,346.74 is: 14,020.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,639.34 : 53,459.42 = 9,346.74 : x
  2. Step 2: Convert to fraction form
    35,639.34/53,459.42 = 9,346.74/x
  3. Step 3: Cross multiply
    35,639.34x = 53,459.42 × 9,346.74
  4. Step 4: Simplify right side
    35,639.34x = 499,671,299.29
  5. Step 5: Solve for x
    x = 499,671,299.29/35,639.34
  6. Step 6: Final answer
    x = 14,020.22

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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.