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Finding the Fourth Proportional to 9,544.61, 14,305.15 and 6,921.13

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Solution

The fourth proportional to 9,544.61, 14,305.15 and 6,921.13 is: 10,373.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,544.61 : 14,305.15 = 6,921.13 : x
  2. Step 2: Convert to fraction form
    9,544.61/14,305.15 = 6,921.13/x
  3. Step 3: Cross multiply
    9,544.61x = 14,305.15 × 6,921.13
  4. Step 4: Simplify right side
    9,544.61x = 99,007,802.82
  5. Step 5: Solve for x
    x = 99,007,802.82/9,544.61
  6. Step 6: Final answer
    x = 10,373.16

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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.