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Finding the Fourth Proportional to 7,114.38, 9,818.28 and 4,720.14

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Solution

The fourth proportional to 7,114.38, 9,818.28 and 4,720.14 is: 6,514.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.38 : 9,818.28 = 4,720.14 : x
  2. Step 2: Convert to fraction form
    7,114.38/9,818.28 = 4,720.14/x
  3. Step 3: Cross multiply
    7,114.38x = 9,818.28 × 4,720.14
  4. Step 4: Simplify right side
    7,114.38x = 46,343,656.16
  5. Step 5: Solve for x
    x = 46,343,656.16/7,114.38
  6. Step 6: Final answer
    x = 6,514.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.