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Finding the Fourth Proportional to 9,355.23, 14,030.10 and 3,510.50

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Solution

The fourth proportional to 9,355.23, 14,030.10 and 3,510.50 is: 5,264.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,355.23 : 14,030.10 = 3,510.50 : x
  2. Step 2: Convert to fraction form
    9,355.23/14,030.10 = 3,510.50/x
  3. Step 3: Cross multiply
    9,355.23x = 14,030.10 × 3,510.50
  4. Step 4: Simplify right side
    9,355.23x = 49,252,595.90
  5. Step 5: Solve for x
    x = 49,252,595.90/9,355.23
  6. Step 6: Final answer
    x = 5,264.71

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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.