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Finding the Fourth Proportional to 9,026.96, 12,457.80 and 5,490.32

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Solution

The fourth proportional to 9,026.96, 12,457.80 and 5,490.32 is: 7,577.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,026.96 : 12,457.80 = 5,490.32 : x
  2. Step 2: Convert to fraction form
    9,026.96/12,457.80 = 5,490.32/x
  3. Step 3: Cross multiply
    9,026.96x = 12,457.80 × 5,490.32
  4. Step 4: Simplify right side
    9,026.96x = 68,397,308.50
  5. Step 5: Solve for x
    x = 68,397,308.50/9,026.96
  6. Step 6: Final answer
    x = 7,577.00

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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.