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Finding the Fourth Proportional to 9,781.84, 14,671.19 and 3,117.47

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Solution

The fourth proportional to 9,781.84, 14,671.19 and 3,117.47 is: 4,675.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.84 : 14,671.19 = 3,117.47 : x
  2. Step 2: Convert to fraction form
    9,781.84/14,671.19 = 3,117.47/x
  3. Step 3: Cross multiply
    9,781.84x = 14,671.19 × 3,117.47
  4. Step 4: Simplify right side
    9,781.84x = 45,736,950.22
  5. Step 5: Solve for x
    x = 45,736,950.22/9,781.84
  6. Step 6: Final answer
    x = 4,675.70

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Why These Related Problems?

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