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Finding the Fourth Proportional to 9,470.88, 13,064.16 and 6,814.56

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Solution

The fourth proportional to 9,470.88, 13,064.16 and 6,814.56 is: 9,400.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.88 : 13,064.16 = 6,814.56 : x
  2. Step 2: Convert to fraction form
    9,470.88/13,064.16 = 6,814.56/x
  3. Step 3: Cross multiply
    9,470.88x = 13,064.16 × 6,814.56
  4. Step 4: Simplify right side
    9,470.88x = 89,026,502.17
  5. Step 5: Solve for x
    x = 89,026,502.17/9,470.88
  6. Step 6: Final answer
    x = 9,400.02

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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.