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Finding the Fourth Proportional to 9,549.60, 14,305.86 and 5,376.93

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Solution

The fourth proportional to 9,549.60, 14,305.86 and 5,376.93 is: 8,054.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549.60 : 14,305.86 = 5,376.93 : x
  2. Step 2: Convert to fraction form
    9,549.60/14,305.86 = 5,376.93/x
  3. Step 3: Cross multiply
    9,549.60x = 14,305.86 × 5,376.93
  4. Step 4: Simplify right side
    9,549.60x = 76,921,607.81
  5. Step 5: Solve for x
    x = 76,921,607.81/9,549.60
  6. Step 6: Final answer
    x = 8,054.96

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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.