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Finding the Fourth Proportional to 10,437.84, 15,575.84 and 9,330

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Solution

The fourth proportional to 10,437.84, 15,575.84 and 9,330 is: 13,922.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,437.84 : 15,575.84 = 9,330 : x
  2. Step 2: Convert to fraction form
    10,437.84/15,575.84 = 9,330/x
  3. Step 3: Cross multiply
    10,437.84x = 15,575.84 × 9,330
  4. Step 4: Simplify right side
    10,437.84x = 145,322,587.20
  5. Step 5: Solve for x
    x = 145,322,587.20/10,437.84
  6. Step 6: Final answer
    x = 13,922.67

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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.