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Finding the Fourth Proportional to 7,223.84, 9,962.66 and 4,705

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Solution

The fourth proportional to 7,223.84, 9,962.66 and 4,705 is: 6,488.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,223.84 : 9,962.66 = 4,705 : x
  2. Step 2: Convert to fraction form
    7,223.84/9,962.66 = 4,705/x
  3. Step 3: Cross multiply
    7,223.84x = 9,962.66 × 4,705
  4. Step 4: Simplify right side
    7,223.84x = 46,874,315.30
  5. Step 5: Solve for x
    x = 46,874,315.30/7,223.84
  6. Step 6: Final answer
    x = 6,488.84

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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.