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Finding the Fourth Proportional to 9,873.84, 14,797.77 and 4,681.20

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Solution

The fourth proportional to 9,873.84, 14,797.77 and 4,681.20 is: 7,015.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.84 : 14,797.77 = 4,681.20 : x
  2. Step 2: Convert to fraction form
    9,873.84/14,797.77 = 4,681.20/x
  3. Step 3: Cross multiply
    9,873.84x = 14,797.77 × 4,681.20
  4. Step 4: Simplify right side
    9,873.84x = 69,271,320.92
  5. Step 5: Solve for x
    x = 69,271,320.92/9,873.84
  6. Step 6: Final answer
    x = 7,015.64

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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.