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Finding the Fourth Proportional to 9,707.15, 14,560.71 and 7,750.19

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Solution

The fourth proportional to 9,707.15, 14,560.71 and 7,750.19 is: 11,625.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.15 : 14,560.71 = 7,750.19 : x
  2. Step 2: Convert to fraction form
    9,707.15/14,560.71 = 7,750.19/x
  3. Step 3: Cross multiply
    9,707.15x = 14,560.71 × 7,750.19
  4. Step 4: Simplify right side
    9,707.15x = 112,848,269.03
  5. Step 5: Solve for x
    x = 112,848,269.03/9,707.15
  6. Step 6: Final answer
    x = 11,625.27

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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.