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Finding the Fourth Proportional to 35,966.40, 53,949.51 and 9,671.14

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Solution

The fourth proportional to 35,966.40, 53,949.51 and 9,671.14 is: 14,506.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,966.40 : 53,949.51 = 9,671.14 : x
  2. Step 2: Convert to fraction form
    35,966.40/53,949.51 = 9,671.14/x
  3. Step 3: Cross multiply
    35,966.40x = 53,949.51 × 9,671.14
  4. Step 4: Simplify right side
    35,966.40x = 521,753,264.14
  5. Step 5: Solve for x
    x = 521,753,264.14/35,966.40
  6. Step 6: Final answer
    x = 14,506.69

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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.