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Finding the Fourth Proportional to 9,347.76, 14,018.85 and 3,503.00

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Solution

The fourth proportional to 9,347.76, 14,018.85 and 3,503.00 is: 5,253.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,347.76 : 14,018.85 = 3,503.00 : x
  2. Step 2: Convert to fraction form
    9,347.76/14,018.85 = 3,503.00/x
  3. Step 3: Cross multiply
    9,347.76x = 14,018.85 × 3,503.00
  4. Step 4: Simplify right side
    9,347.76x = 49,107,961.46
  5. Step 5: Solve for x
    x = 49,107,961.46/9,347.76
  6. Step 6: Final answer
    x = 5,253.45

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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.