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Finding the Fourth Proportional to 9,945.59, 14,904.41 and 7,856.46

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Solution

The fourth proportional to 9,945.59, 14,904.41 and 7,856.46 is: 11,773.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,945.59 : 14,904.41 = 7,856.46 : x
  2. Step 2: Convert to fraction form
    9,945.59/14,904.41 = 7,856.46/x
  3. Step 3: Cross multiply
    9,945.59x = 14,904.41 × 7,856.46
  4. Step 4: Simplify right side
    9,945.59x = 117,095,861.71
  5. Step 5: Solve for x
    x = 117,095,861.71/9,945.59
  6. Step 6: Final answer
    x = 11,773.65

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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.