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Finding the Fourth Proportional to 9,740.86, 14,602.05 and 3,162.45

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Solution

The fourth proportional to 9,740.86, 14,602.05 and 3,162.45 is: 4,740.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740.86 : 14,602.05 = 3,162.45 : x
  2. Step 2: Convert to fraction form
    9,740.86/14,602.05 = 3,162.45/x
  3. Step 3: Cross multiply
    9,740.86x = 14,602.05 × 3,162.45
  4. Step 4: Simplify right side
    9,740.86x = 46,178,253.02
  5. Step 5: Solve for x
    x = 46,178,253.02/9,740.86
  6. Step 6: Final answer
    x = 4,740.68

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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.