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Finding the Fourth Proportional to 9,781.02, 14,671.47 and 3,207.16

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Solution

The fourth proportional to 9,781.02, 14,671.47 and 3,207.16 is: 4,810.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.02 : 14,671.47 = 3,207.16 : x
  2. Step 2: Convert to fraction form
    9,781.02/14,671.47 = 3,207.16/x
  3. Step 3: Cross multiply
    9,781.02x = 14,671.47 × 3,207.16
  4. Step 4: Simplify right side
    9,781.02x = 47,053,715.05
  5. Step 5: Solve for x
    x = 47,053,715.05/9,781.02
  6. Step 6: Final answer
    x = 4,810.72

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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.