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Finding the Fourth Proportional to 7,024.68, 9,695.70 and 4,506.12

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Solution

The fourth proportional to 7,024.68, 9,695.70 and 4,506.12 is: 6,219.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.68 : 9,695.70 = 4,506.12 : x
  2. Step 2: Convert to fraction form
    7,024.68/9,695.70 = 4,506.12/x
  3. Step 3: Cross multiply
    7,024.68x = 9,695.70 × 4,506.12
  4. Step 4: Simplify right side
    7,024.68x = 43,689,987.68
  5. Step 5: Solve for x
    x = 43,689,987.68/7,024.68
  6. Step 6: Final answer
    x = 6,219.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.