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Finding the Fourth Proportional to 9,715.77, 14,562.63 and 8,543.51

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Solution

The fourth proportional to 9,715.77, 14,562.63 and 8,543.51 is: 12,805.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.77 : 14,562.63 = 8,543.51 : x
  2. Step 2: Convert to fraction form
    9,715.77/14,562.63 = 8,543.51/x
  3. Step 3: Cross multiply
    9,715.77x = 14,562.63 × 8,543.51
  4. Step 4: Simplify right side
    9,715.77x = 124,415,902.22
  5. Step 5: Solve for x
    x = 124,415,902.22/9,715.77
  6. Step 6: Final answer
    x = 12,805.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.