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Finding the Fourth Proportional to 9,320.78, 12,862.72 and 5,071.84

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Solution

The fourth proportional to 9,320.78, 12,862.72 and 5,071.84 is: 6,999.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,320.78 : 12,862.72 = 5,071.84 : x
  2. Step 2: Convert to fraction form
    9,320.78/12,862.72 = 5,071.84/x
  3. Step 3: Cross multiply
    9,320.78x = 12,862.72 × 5,071.84
  4. Step 4: Simplify right side
    9,320.78x = 65,237,657.80
  5. Step 5: Solve for x
    x = 65,237,657.80/9,320.78
  6. Step 6: Final answer
    x = 6,999.16

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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.