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Finding the Fourth Proportional to 9,931.34, 14,897.03 and 2,535.82

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Solution

The fourth proportional to 9,931.34, 14,897.03 and 2,535.82 is: 3,803.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,931.34 : 14,897.03 = 2,535.82 : x
  2. Step 2: Convert to fraction form
    9,931.34/14,897.03 = 2,535.82/x
  3. Step 3: Cross multiply
    9,931.34x = 14,897.03 × 2,535.82
  4. Step 4: Simplify right side
    9,931.34x = 37,776,136.69
  5. Step 5: Solve for x
    x = 37,776,136.69/9,931.34
  6. Step 6: Final answer
    x = 3,803.73

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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.