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Finding the Fourth Proportional to 9,398.32, 12,968.92 and 5,416.76

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Solution

The fourth proportional to 9,398.32, 12,968.92 and 5,416.76 is: 7,474.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,398.32 : 12,968.92 = 5,416.76 : x
  2. Step 2: Convert to fraction form
    9,398.32/12,968.92 = 5,416.76/x
  3. Step 3: Cross multiply
    9,398.32x = 12,968.92 × 5,416.76
  4. Step 4: Simplify right side
    9,398.32x = 70,249,527.10
  5. Step 5: Solve for x
    x = 70,249,527.10/9,398.32
  6. Step 6: Final answer
    x = 7,474.69

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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.