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Finding the Fourth Proportional to 9,348.16, 12,896.40 and 5,620

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Solution

The fourth proportional to 9,348.16, 12,896.40 and 5,620 is: 7,753.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348.16 : 12,896.40 = 5,620 : x
  2. Step 2: Convert to fraction form
    9,348.16/12,896.40 = 5,620/x
  3. Step 3: Cross multiply
    9,348.16x = 12,896.40 × 5,620
  4. Step 4: Simplify right side
    9,348.16x = 72,477,768
  5. Step 5: Solve for x
    x = 72,477,768/9,348.16
  6. Step 6: Final answer
    x = 7,753.16

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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.