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Finding the Fourth Proportional to 9,852.66, 14,780.52 and 4,009.68

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Solution

The fourth proportional to 9,852.66, 14,780.52 and 4,009.68 is: 6,015.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.66 : 14,780.52 = 4,009.68 : x
  2. Step 2: Convert to fraction form
    9,852.66/14,780.52 = 4,009.68/x
  3. Step 3: Cross multiply
    9,852.66x = 14,780.52 × 4,009.68
  4. Step 4: Simplify right side
    9,852.66x = 59,265,155.43
  5. Step 5: Solve for x
    x = 59,265,155.43/9,852.66
  6. Step 6: Final answer
    x = 6,015.14

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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.