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Finding the Fourth Proportional to 9,785.98, 14,670.06 and 4,235.86

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Solution

The fourth proportional to 9,785.98, 14,670.06 and 4,235.86 is: 6,349.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.98 : 14,670.06 = 4,235.86 : x
  2. Step 2: Convert to fraction form
    9,785.98/14,670.06 = 4,235.86/x
  3. Step 3: Cross multiply
    9,785.98x = 14,670.06 × 4,235.86
  4. Step 4: Simplify right side
    9,785.98x = 62,140,320.35
  5. Step 5: Solve for x
    x = 62,140,320.35/9,785.98
  6. Step 6: Final answer
    x = 6,349.93

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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.