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Finding the Fourth Proportional to 9,730.86, 14,597.64 and 3,154.92

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Solution

The fourth proportional to 9,730.86, 14,597.64 and 3,154.92 is: 4,732.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.86 : 14,597.64 = 3,154.92 : x
  2. Step 2: Convert to fraction form
    9,730.86/14,597.64 = 3,154.92/x
  3. Step 3: Cross multiply
    9,730.86x = 14,597.64 × 3,154.92
  4. Step 4: Simplify right side
    9,730.86x = 46,054,386.39
  5. Step 5: Solve for x
    x = 46,054,386.39/9,730.86
  6. Step 6: Final answer
    x = 4,732.82

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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.