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Finding the Fourth Proportional to 7,024.59, 9,695.87 and 4,370.42

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Solution

The fourth proportional to 7,024.59, 9,695.87 and 4,370.42 is: 6,032.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.59 : 9,695.87 = 4,370.42 : x
  2. Step 2: Convert to fraction form
    7,024.59/9,695.87 = 4,370.42/x
  3. Step 3: Cross multiply
    7,024.59x = 9,695.87 × 4,370.42
  4. Step 4: Simplify right side
    7,024.59x = 42,374,953.83
  5. Step 5: Solve for x
    x = 42,374,953.83/7,024.59
  6. Step 6: Final answer
    x = 6,032.37

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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.