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Finding the Fourth Proportional to 9,856.26, 14,784.70 and 4,306.77

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Solution

The fourth proportional to 9,856.26, 14,784.70 and 4,306.77 is: 6,460.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.26 : 14,784.70 = 4,306.77 : x
  2. Step 2: Convert to fraction form
    9,856.26/14,784.70 = 4,306.77/x
  3. Step 3: Cross multiply
    9,856.26x = 14,784.70 × 4,306.77
  4. Step 4: Simplify right side
    9,856.26x = 63,674,228.50
  5. Step 5: Solve for x
    x = 63,674,228.50/9,856.26
  6. Step 6: Final answer
    x = 6,460.29

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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.