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Finding the Fourth Proportional to 9,037.86, 13,526.70 and 6,834.45

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Solution

The fourth proportional to 9,037.86, 13,526.70 and 6,834.45 is: 10,228.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,037.86 : 13,526.70 = 6,834.45 : x
  2. Step 2: Convert to fraction form
    9,037.86/13,526.70 = 6,834.45/x
  3. Step 3: Cross multiply
    9,037.86x = 13,526.70 × 6,834.45
  4. Step 4: Simplify right side
    9,037.86x = 92,447,554.82
  5. Step 5: Solve for x
    x = 92,447,554.82/9,037.86
  6. Step 6: Final answer
    x = 10,228.92

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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.