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Finding the Fourth Proportional to 9,896.47, 14,846.33 and 4,700.59

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Solution

The fourth proportional to 9,896.47, 14,846.33 and 4,700.59 is: 7,051.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.47 : 14,846.33 = 4,700.59 : x
  2. Step 2: Convert to fraction form
    9,896.47/14,846.33 = 4,700.59/x
  3. Step 3: Cross multiply
    9,896.47x = 14,846.33 × 4,700.59
  4. Step 4: Simplify right side
    9,896.47x = 69,786,510.33
  5. Step 5: Solve for x
    x = 69,786,510.33/9,896.47
  6. Step 6: Final answer
    x = 7,051.66

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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.