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Finding the Fourth Proportional to 11,464.93, 15,830.95 and 9,340.81

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Solution

The fourth proportional to 11,464.93, 15,830.95 and 9,340.81 is: 12,897.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.93 : 15,830.95 = 9,340.81 : x
  2. Step 2: Convert to fraction form
    11,464.93/15,830.95 = 9,340.81/x
  3. Step 3: Cross multiply
    11,464.93x = 15,830.95 × 9,340.81
  4. Step 4: Simplify right side
    11,464.93x = 147,873,816.91
  5. Step 5: Solve for x
    x = 147,873,816.91/11,464.93
  6. Step 6: Final answer
    x = 12,897.93

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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.