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Finding the Fourth Proportional to 9,477.25, 14,219.12 and 5,312.23

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Solution

The fourth proportional to 9,477.25, 14,219.12 and 5,312.23 is: 7,970.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.25 : 14,219.12 = 5,312.23 : x
  2. Step 2: Convert to fraction form
    9,477.25/14,219.12 = 5,312.23/x
  3. Step 3: Cross multiply
    9,477.25x = 14,219.12 × 5,312.23
  4. Step 4: Simplify right side
    9,477.25x = 75,535,209.28
  5. Step 5: Solve for x
    x = 75,535,209.28/9,477.25
  6. Step 6: Final answer
    x = 7,970.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.