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Finding the Fourth Proportional to 9,776.32, 14,664.47 and 3,931.56

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Solution

The fourth proportional to 9,776.32, 14,664.47 and 3,931.56 is: 5,897.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.32 : 14,664.47 = 3,931.56 : x
  2. Step 2: Convert to fraction form
    9,776.32/14,664.47 = 3,931.56/x
  3. Step 3: Cross multiply
    9,776.32x = 14,664.47 × 3,931.56
  4. Step 4: Simplify right side
    9,776.32x = 57,654,243.67
  5. Step 5: Solve for x
    x = 57,654,243.67/9,776.32
  6. Step 6: Final answer
    x = 5,897.34

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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.