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Finding the Fourth Proportional to 9,719.29, 13,412.07 and 5,470.53

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Solution

The fourth proportional to 9,719.29, 13,412.07 and 5,470.53 is: 7,549.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719.29 : 13,412.07 = 5,470.53 : x
  2. Step 2: Convert to fraction form
    9,719.29/13,412.07 = 5,470.53/x
  3. Step 3: Cross multiply
    9,719.29x = 13,412.07 × 5,470.53
  4. Step 4: Simplify right side
    9,719.29x = 73,371,164.83
  5. Step 5: Solve for x
    x = 73,371,164.83/9,719.29
  6. Step 6: Final answer
    x = 7,549.03

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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.