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Finding the Fourth Proportional to 9,459.85, 13,054.48 and 5,210.83

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Solution

The fourth proportional to 9,459.85, 13,054.48 and 5,210.83 is: 7,190.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,459.85 : 13,054.48 = 5,210.83 : x
  2. Step 2: Convert to fraction form
    9,459.85/13,054.48 = 5,210.83/x
  3. Step 3: Cross multiply
    9,459.85x = 13,054.48 × 5,210.83
  4. Step 4: Simplify right side
    9,459.85x = 68,024,676.02
  5. Step 5: Solve for x
    x = 68,024,676.02/9,459.85
  6. Step 6: Final answer
    x = 7,190.88

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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.