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Finding the Fourth Proportional to 7,154.99, 9,878.69 and 4,470.30

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Solution

The fourth proportional to 7,154.99, 9,878.69 and 4,470.30 is: 6,172.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.99 : 9,878.69 = 4,470.30 : x
  2. Step 2: Convert to fraction form
    7,154.99/9,878.69 = 4,470.30/x
  3. Step 3: Cross multiply
    7,154.99x = 9,878.69 × 4,470.30
  4. Step 4: Simplify right side
    7,154.99x = 44,160,685.56
  5. Step 5: Solve for x
    x = 44,160,685.56/7,154.99
  6. Step 6: Final answer
    x = 6,172.01

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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.