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Finding the Fourth Proportional to 7,114.88, 9,817.80 and 4,130.04

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Solution

The fourth proportional to 7,114.88, 9,817.80 and 4,130.04 is: 5,699.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.88 : 9,817.80 = 4,130.04 : x
  2. Step 2: Convert to fraction form
    7,114.88/9,817.80 = 4,130.04/x
  3. Step 3: Cross multiply
    7,114.88x = 9,817.80 × 4,130.04
  4. Step 4: Simplify right side
    7,114.88x = 40,547,906.71
  5. Step 5: Solve for x
    x = 40,547,906.71/7,114.88
  6. Step 6: Final answer
    x = 5,699.03

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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.