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Finding the Fourth Proportional to 9,345.64, 14,017.03 and 3,421.13

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Solution

The fourth proportional to 9,345.64, 14,017.03 and 3,421.13 is: 5,131.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,345.64 : 14,017.03 = 3,421.13 : x
  2. Step 2: Convert to fraction form
    9,345.64/14,017.03 = 3,421.13/x
  3. Step 3: Cross multiply
    9,345.64x = 14,017.03 × 3,421.13
  4. Step 4: Simplify right side
    9,345.64x = 47,954,064.74
  5. Step 5: Solve for x
    x = 47,954,064.74/9,345.64
  6. Step 6: Final answer
    x = 5,131.17

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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.