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Finding the Fourth Proportional to 7,157.49, 9,875.01 and 4,641.56

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Solution

The fourth proportional to 7,157.49, 9,875.01 and 4,641.56 is: 6,403.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.49 : 9,875.01 = 4,641.56 : x
  2. Step 2: Convert to fraction form
    7,157.49/9,875.01 = 4,641.56/x
  3. Step 3: Cross multiply
    7,157.49x = 9,875.01 × 4,641.56
  4. Step 4: Simplify right side
    7,157.49x = 45,835,451.42
  5. Step 5: Solve for x
    x = 45,835,451.42/7,157.49
  6. Step 6: Final answer
    x = 6,403.84

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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.