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Finding the Fourth Proportional to 7,154.94, 9,878.71 and 4,470.25

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Solution

The fourth proportional to 7,154.94, 9,878.71 and 4,470.25 is: 6,172.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.94 : 9,878.71 = 4,470.25 : x
  2. Step 2: Convert to fraction form
    7,154.94/9,878.71 = 4,470.25/x
  3. Step 3: Cross multiply
    7,154.94x = 9,878.71 × 4,470.25
  4. Step 4: Simplify right side
    7,154.94x = 44,160,294.41
  5. Step 5: Solve for x
    x = 44,160,294.41/7,154.94
  6. Step 6: Final answer
    x = 6,172.00

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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.