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Finding the Fourth Proportional to 9,931.50, 14,897.24 and 2,535.69

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Solution

The fourth proportional to 9,931.50, 14,897.24 and 2,535.69 is: 3,803.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,931.50 : 14,897.24 = 2,535.69 : x
  2. Step 2: Convert to fraction form
    9,931.50/14,897.24 = 2,535.69/x
  3. Step 3: Cross multiply
    9,931.50x = 14,897.24 × 2,535.69
  4. Step 4: Simplify right side
    9,931.50x = 37,774,788.83
  5. Step 5: Solve for x
    x = 37,774,788.83/9,931.50
  6. Step 6: Final answer
    x = 3,803.53

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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.