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Finding the Fourth Proportional to 6,210.31, 9,315.22 and 1,530.34

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Solution

The fourth proportional to 6,210.31, 9,315.22 and 1,530.34 is: 2,295.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,210.31 : 9,315.22 = 1,530.34 : x
  2. Step 2: Convert to fraction form
    6,210.31/9,315.22 = 1,530.34/x
  3. Step 3: Cross multiply
    6,210.31x = 9,315.22 × 1,530.34
  4. Step 4: Simplify right side
    6,210.31x = 14,255,453.77
  5. Step 5: Solve for x
    x = 14,255,453.77/6,210.31
  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.