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Finding the Fourth Proportional to 9,574.10, 14,342.02 and 7,483.70

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Solution

The fourth proportional to 9,574.10, 14,342.02 and 7,483.70 is: 11,210.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.10 : 14,342.02 = 7,483.70 : x
  2. Step 2: Convert to fraction form
    9,574.10/14,342.02 = 7,483.70/x
  3. Step 3: Cross multiply
    9,574.10x = 14,342.02 × 7,483.70
  4. Step 4: Simplify right side
    9,574.10x = 107,331,375.07
  5. Step 5: Solve for x
    x = 107,331,375.07/9,574.10
  6. Step 6: Final answer
    x = 11,210.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.