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Finding the Fourth Proportional to 10,416.60, 14,381.63 and 9,295.61

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Solution

The fourth proportional to 10,416.60, 14,381.63 and 9,295.61 is: 12,833.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416.60 : 14,381.63 = 9,295.61 : x
  2. Step 2: Convert to fraction form
    10,416.60/14,381.63 = 9,295.61/x
  3. Step 3: Cross multiply
    10,416.60x = 14,381.63 × 9,295.61
  4. Step 4: Simplify right side
    10,416.60x = 133,685,905.26
  5. Step 5: Solve for x
    x = 133,685,905.26/10,416.60
  6. Step 6: Final answer
    x = 12,833.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.