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Finding the Fourth Proportional to 7,114.16, 9,816 and 4,281.20

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Solution

The fourth proportional to 7,114.16, 9,816 and 4,281.20 is: 5,907.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.16 : 9,816 = 4,281.20 : x
  2. Step 2: Convert to fraction form
    7,114.16/9,816 = 4,281.20/x
  3. Step 3: Cross multiply
    7,114.16x = 9,816 × 4,281.20
  4. Step 4: Simplify right side
    7,114.16x = 42,024,259.20
  5. Step 5: Solve for x
    x = 42,024,259.20/7,114.16
  6. Step 6: Final answer
    x = 5,907.13

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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.