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Finding the Fourth Proportional to 9,610.49, 14,347.02 and 8,925.23

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Solution

The fourth proportional to 9,610.49, 14,347.02 and 8,925.23 is: 13,324.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,610.49 : 14,347.02 = 8,925.23 : x
  2. Step 2: Convert to fraction form
    9,610.49/14,347.02 = 8,925.23/x
  3. Step 3: Cross multiply
    9,610.49x = 14,347.02 × 8,925.23
  4. Step 4: Simplify right side
    9,610.49x = 128,050,381.58
  5. Step 5: Solve for x
    x = 128,050,381.58/9,610.49
  6. Step 6: Final answer
    x = 13,324.03

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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.