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Finding the Fourth Proportional to 9,788.04, 14,681.98 and 2,392.44

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Solution

The fourth proportional to 9,788.04, 14,681.98 and 2,392.44 is: 3,588.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.04 : 14,681.98 = 2,392.44 : x
  2. Step 2: Convert to fraction form
    9,788.04/14,681.98 = 2,392.44/x
  3. Step 3: Cross multiply
    9,788.04x = 14,681.98 × 2,392.44
  4. Step 4: Simplify right side
    9,788.04x = 35,125,710.89
  5. Step 5: Solve for x
    x = 35,125,710.89/9,788.04
  6. Step 6: Final answer
    x = 3,588.64

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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.