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Finding the Fourth Proportional to 9,476.95, 13,080.54 and 6,457.07

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Solution

The fourth proportional to 9,476.95, 13,080.54 and 6,457.07 is: 8,912.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476.95 : 13,080.54 = 6,457.07 : x
  2. Step 2: Convert to fraction form
    9,476.95/13,080.54 = 6,457.07/x
  3. Step 3: Cross multiply
    9,476.95x = 13,080.54 × 6,457.07
  4. Step 4: Simplify right side
    9,476.95x = 84,461,962.42
  5. Step 5: Solve for x
    x = 84,461,962.42/9,476.95
  6. Step 6: Final answer
    x = 8,912.36

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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.