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Finding the Fourth Proportional to 9,617.16, 14,417.19 and 3,777.84

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Solution

The fourth proportional to 9,617.16, 14,417.19 and 3,777.84 is: 5,663.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.16 : 14,417.19 = 3,777.84 : x
  2. Step 2: Convert to fraction form
    9,617.16/14,417.19 = 3,777.84/x
  3. Step 3: Cross multiply
    9,617.16x = 14,417.19 × 3,777.84
  4. Step 4: Simplify right side
    9,617.16x = 54,465,837.07
  5. Step 5: Solve for x
    x = 54,465,837.07/9,617.16
  6. Step 6: Final answer
    x = 5,663.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.