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Finding the Fourth Proportional to 9,774.40, 13,486.80 and 5,799.04

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Solution

The fourth proportional to 9,774.40, 13,486.80 and 5,799.04 is: 8,001.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.40 : 13,486.80 = 5,799.04 : x
  2. Step 2: Convert to fraction form
    9,774.40/13,486.80 = 5,799.04/x
  3. Step 3: Cross multiply
    9,774.40x = 13,486.80 × 5,799.04
  4. Step 4: Simplify right side
    9,774.40x = 78,210,492.67
  5. Step 5: Solve for x
    x = 78,210,492.67/9,774.40
  6. Step 6: Final answer
    x = 8,001.56

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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.