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Finding the Fourth Proportional to 7,061.25, 9,746.25 and 4,076.64

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Solution

The fourth proportional to 7,061.25, 9,746.25 and 4,076.64 is: 5,626.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,061.25 : 9,746.25 = 4,076.64 : x
  2. Step 2: Convert to fraction form
    7,061.25/9,746.25 = 4,076.64/x
  3. Step 3: Cross multiply
    7,061.25x = 9,746.25 × 4,076.64
  4. Step 4: Simplify right side
    7,061.25x = 39,731,952.60
  5. Step 5: Solve for x
    x = 39,731,952.60/7,061.25
  6. Step 6: Final answer
    x = 5,626.76

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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.