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Finding the Fourth Proportional to 6,274.10, 9,411.05 and 1,530.32

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Solution

The fourth proportional to 6,274.10, 9,411.05 and 1,530.32 is: 2,295.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.10 : 9,411.05 = 1,530.32 : x
  2. Step 2: Convert to fraction form
    6,274.10/9,411.05 = 1,530.32/x
  3. Step 3: Cross multiply
    6,274.10x = 9,411.05 × 1,530.32
  4. Step 4: Simplify right side
    6,274.10x = 14,401,874.81
  5. Step 5: Solve for x
    x = 14,401,874.81/6,274.10
  6. Step 6: Final answer
    x = 2,295.45

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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.