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Finding the Fourth Proportional to 7,050, 9,730.03 and 4,065.25

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Solution

The fourth proportional to 7,050, 9,730.03 and 4,065.25 is: 5,610.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,050 : 9,730.03 = 4,065.25 : x
  2. Step 2: Convert to fraction form
    7,050/9,730.03 = 4,065.25/x
  3. Step 3: Cross multiply
    7,050x = 9,730.03 × 4,065.25
  4. Step 4: Simplify right side
    7,050x = 39,554,955.81
  5. Step 5: Solve for x
    x = 39,554,955.81/7,050
  6. Step 6: Final answer
    x = 5,610.63

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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.