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Finding the Fourth Proportional to 9,457.04, 14,164.44 and 6,854

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Solution

The fourth proportional to 9,457.04, 14,164.44 and 6,854 is: 10,265.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,457.04 : 14,164.44 = 6,854 : x
  2. Step 2: Convert to fraction form
    9,457.04/14,164.44 = 6,854/x
  3. Step 3: Cross multiply
    9,457.04x = 14,164.44 × 6,854
  4. Step 4: Simplify right side
    9,457.04x = 97,083,071.76
  5. Step 5: Solve for x
    x = 97,083,071.76/9,457.04
  6. Step 6: Final answer
    x = 10,265.69

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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.