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Finding the Fourth Proportional to 9,946.42, 13,726.41 and 5,470.51

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Solution

The fourth proportional to 9,946.42, 13,726.41 and 5,470.51 is: 7,549.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,946.42 : 13,726.41 = 5,470.51 : x
  2. Step 2: Convert to fraction form
    9,946.42/13,726.41 = 5,470.51/x
  3. Step 3: Cross multiply
    9,946.42x = 13,726.41 × 5,470.51
  4. Step 4: Simplify right side
    9,946.42x = 75,090,463.17
  5. Step 5: Solve for x
    x = 75,090,463.17/9,946.42
  6. Step 6: Final answer
    x = 7,549.50

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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.