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Finding the Fourth Proportional to 9,788.78, 14,683.88 and 4,853.45

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Solution

The fourth proportional to 9,788.78, 14,683.88 and 4,853.45 is: 7,280.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.78 : 14,683.88 = 4,853.45 : x
  2. Step 2: Convert to fraction form
    9,788.78/14,683.88 = 4,853.45/x
  3. Step 3: Cross multiply
    9,788.78x = 14,683.88 × 4,853.45
  4. Step 4: Simplify right side
    9,788.78x = 71,267,526.23
  5. Step 5: Solve for x
    x = 71,267,526.23/9,788.78
  6. Step 6: Final answer
    x = 7,280.53

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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.