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Finding the Fourth Proportional to 9,193.02, 12,685.86 and 5,001

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Solution

The fourth proportional to 9,193.02, 12,685.86 and 5,001 is: 6,901.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.02 : 12,685.86 = 5,001 : x
  2. Step 2: Convert to fraction form
    9,193.02/12,685.86 = 5,001/x
  3. Step 3: Cross multiply
    9,193.02x = 12,685.86 × 5,001
  4. Step 4: Simplify right side
    9,193.02x = 63,441,985.86
  5. Step 5: Solve for x
    x = 63,441,985.86/9,193.02
  6. Step 6: Final answer
    x = 6,901.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.