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Finding the Fourth Proportional to 9,417.16, 12,992.28 and 5,637.68

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Solution

The fourth proportional to 9,417.16, 12,992.28 and 5,637.68 is: 7,777.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,417.16 : 12,992.28 = 5,637.68 : x
  2. Step 2: Convert to fraction form
    9,417.16/12,992.28 = 5,637.68/x
  3. Step 3: Cross multiply
    9,417.16x = 12,992.28 × 5,637.68
  4. Step 4: Simplify right side
    9,417.16x = 73,246,317.11
  5. Step 5: Solve for x
    x = 73,246,317.11/9,417.16
  6. Step 6: Final answer
    x = 7,777.96

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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.