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Finding the Fourth Proportional to 9,975.15, 13,765.16 and 5,498.90

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Solution

The fourth proportional to 9,975.15, 13,765.16 and 5,498.90 is: 7,588.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,975.15 : 13,765.16 = 5,498.90 : x
  2. Step 2: Convert to fraction form
    9,975.15/13,765.16 = 5,498.90/x
  3. Step 3: Cross multiply
    9,975.15x = 13,765.16 × 5,498.90
  4. Step 4: Simplify right side
    9,975.15x = 75,693,142.00
  5. Step 5: Solve for x
    x = 75,693,142.00/9,975.15
  6. Step 6: Final answer
    x = 7,588.17

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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.