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Finding the Fourth Proportional to 7,077.51, 9,744.66 and 6,421.41

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Solution

The fourth proportional to 7,077.51, 9,744.66 and 6,421.41 is: 8,841.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.51 : 9,744.66 = 6,421.41 : x
  2. Step 2: Convert to fraction form
    7,077.51/9,744.66 = 6,421.41/x
  3. Step 3: Cross multiply
    7,077.51x = 9,744.66 × 6,421.41
  4. Step 4: Simplify right side
    7,077.51x = 62,574,457.17
  5. Step 5: Solve for x
    x = 62,574,457.17/7,077.51
  6. Step 6: Final answer
    x = 8,841.31

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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.