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Finding the Fourth Proportional to 9,037.82, 12,463.43 and 7,047.65

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Solution

The fourth proportional to 9,037.82, 12,463.43 and 7,047.65 is: 9,718.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,037.82 : 12,463.43 = 7,047.65 : x
  2. Step 2: Convert to fraction form
    9,037.82/12,463.43 = 7,047.65/x
  3. Step 3: Cross multiply
    9,037.82x = 12,463.43 × 7,047.65
  4. Step 4: Simplify right side
    9,037.82x = 87,837,941.22
  5. Step 5: Solve for x
    x = 87,837,941.22/9,037.82
  6. Step 6: Final answer
    x = 9,718.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.