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Finding the Fourth Proportional to 8,509.86, 12,754.06 and 6,045.23

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Solution

The fourth proportional to 8,509.86, 12,754.06 and 6,045.23 is: 9,060.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.86 : 12,754.06 = 6,045.23 : x
  2. Step 2: Convert to fraction form
    8,509.86/12,754.06 = 6,045.23/x
  3. Step 3: Cross multiply
    8,509.86x = 12,754.06 × 6,045.23
  4. Step 4: Simplify right side
    8,509.86x = 77,101,242.91
  5. Step 5: Solve for x
    x = 77,101,242.91/8,509.86
  6. Step 6: Final answer
    x = 9,060.22

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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.