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Finding the Fourth Proportional to 9,301.68, 13,952.16 and 3,145.68

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Solution

The fourth proportional to 9,301.68, 13,952.16 and 3,145.68 is: 4,718.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.68 : 13,952.16 = 3,145.68 : x
  2. Step 2: Convert to fraction form
    9,301.68/13,952.16 = 3,145.68/x
  3. Step 3: Cross multiply
    9,301.68x = 13,952.16 × 3,145.68
  4. Step 4: Simplify right side
    9,301.68x = 43,889,030.67
  5. Step 5: Solve for x
    x = 43,889,030.67/9,301.68
  6. Step 6: Final answer
    x = 4,718.40

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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.