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Finding the Fourth Proportional to 9,775.58, 14,554.60 and 9,637.56

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Solution

The fourth proportional to 9,775.58, 14,554.60 and 9,637.56 is: 14,349.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.58 : 14,554.60 = 9,637.56 : x
  2. Step 2: Convert to fraction form
    9,775.58/14,554.60 = 9,637.56/x
  3. Step 3: Cross multiply
    9,775.58x = 14,554.60 × 9,637.56
  4. Step 4: Simplify right side
    9,775.58x = 140,270,830.78
  5. Step 5: Solve for x
    x = 140,270,830.78/9,775.58
  6. Step 6: Final answer
    x = 14,349.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.