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Finding the Fourth Proportional to 9,574.02, 14,362.11 and 4,378.50

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Solution

The fourth proportional to 9,574.02, 14,362.11 and 4,378.50 is: 6,568.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.02 : 14,362.11 = 4,378.50 : x
  2. Step 2: Convert to fraction form
    9,574.02/14,362.11 = 4,378.50/x
  3. Step 3: Cross multiply
    9,574.02x = 14,362.11 × 4,378.50
  4. Step 4: Simplify right side
    9,574.02x = 62,884,498.64
  5. Step 5: Solve for x
    x = 62,884,498.64/9,574.02
  6. Step 6: Final answer
    x = 6,568.24

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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.