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Finding the Fourth Proportional to 35,731.60, 53,599.98 and 9,436

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Solution

The fourth proportional to 35,731.60, 53,599.98 and 9,436 is: 14,154.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,731.60 : 53,599.98 = 9,436 : x
  2. Step 2: Convert to fraction form
    35,731.60/53,599.98 = 9,436/x
  3. Step 3: Cross multiply
    35,731.60x = 53,599.98 × 9,436
  4. Step 4: Simplify right side
    35,731.60x = 505,769,411.28
  5. Step 5: Solve for x
    x = 505,769,411.28/35,731.60
  6. Step 6: Final answer
    x = 14,154.68

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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.