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Finding the Fourth Proportional to 9,732.02, 14,594.58 and 3,156.57

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Solution

The fourth proportional to 9,732.02, 14,594.58 and 3,156.57 is: 4,733.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.02 : 14,594.58 = 3,156.57 : x
  2. Step 2: Convert to fraction form
    9,732.02/14,594.58 = 3,156.57/x
  3. Step 3: Cross multiply
    9,732.02x = 14,594.58 × 3,156.57
  4. Step 4: Simplify right side
    9,732.02x = 46,068,813.39
  5. Step 5: Solve for x
    x = 46,068,813.39/9,732.02
  6. Step 6: Final answer
    x = 4,733.74

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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.