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Finding the Fourth Proportional to 7,065.07, 9,743.43 and 4,412.74

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Solution

The fourth proportional to 7,065.07, 9,743.43 and 4,412.74 is: 6,085.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065.07 : 9,743.43 = 4,412.74 : x
  2. Step 2: Convert to fraction form
    7,065.07/9,743.43 = 4,412.74/x
  3. Step 3: Cross multiply
    7,065.07x = 9,743.43 × 4,412.74
  4. Step 4: Simplify right side
    7,065.07x = 42,995,223.30
  5. Step 5: Solve for x
    x = 42,995,223.30/7,065.07
  6. Step 6: Final answer
    x = 6,085.60

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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.