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Finding the Fourth Proportional to 9,719.04, 13,412.24 and 5,303.04

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Solution

The fourth proportional to 9,719.04, 13,412.24 and 5,303.04 is: 7,318.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719.04 : 13,412.24 = 5,303.04 : x
  2. Step 2: Convert to fraction form
    9,719.04/13,412.24 = 5,303.04/x
  3. Step 3: Cross multiply
    9,719.04x = 13,412.24 × 5,303.04
  4. Step 4: Simplify right side
    9,719.04x = 71,125,645.21
  5. Step 5: Solve for x
    x = 71,125,645.21/9,719.04
  6. Step 6: Final answer
    x = 7,318.18

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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.