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Finding the Fourth Proportional to 9,856.63, 14,785.26 and 4,307.14

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Solution

The fourth proportional to 9,856.63, 14,785.26 and 4,307.14 is: 6,460.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.63 : 14,785.26 = 4,307.14 : x
  2. Step 2: Convert to fraction form
    9,856.63/14,785.26 = 4,307.14/x
  3. Step 3: Cross multiply
    9,856.63x = 14,785.26 × 4,307.14
  4. Step 4: Simplify right side
    9,856.63x = 63,682,184.76
  5. Step 5: Solve for x
    x = 63,682,184.76/9,856.63
  6. Step 6: Final answer
    x = 6,460.85

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