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Finding the Fourth Proportional to 7,084.35, 9,774.72 and 4,397.99

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Solution

The fourth proportional to 7,084.35, 9,774.72 and 4,397.99 is: 6,068.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084.35 : 9,774.72 = 4,397.99 : x
  2. Step 2: Convert to fraction form
    7,084.35/9,774.72 = 4,397.99/x
  3. Step 3: Cross multiply
    7,084.35x = 9,774.72 × 4,397.99
  4. Step 4: Simplify right side
    7,084.35x = 42,989,071.94
  5. Step 5: Solve for x
    x = 42,989,071.94/7,084.35
  6. Step 6: Final answer
    x = 6,068.17

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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.