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Finding the Fourth Proportional to 7,036.70, 9,710.55 and 4,242.20

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Solution

The fourth proportional to 7,036.70, 9,710.55 and 4,242.20 is: 5,854.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,036.70 : 9,710.55 = 4,242.20 : x
  2. Step 2: Convert to fraction form
    7,036.70/9,710.55 = 4,242.20/x
  3. Step 3: Cross multiply
    7,036.70x = 9,710.55 × 4,242.20
  4. Step 4: Simplify right side
    7,036.70x = 41,194,046.66
  5. Step 5: Solve for x
    x = 41,194,046.66/7,036.70
  6. Step 6: Final answer
    x = 5,854.18

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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.