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Finding the Fourth Proportional to 7,030.40, 9,701.61 and 3,843.86

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Solution

The fourth proportional to 7,030.40, 9,701.61 and 3,843.86 is: 5,304.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,030.40 : 9,701.61 = 3,843.86 : x
  2. Step 2: Convert to fraction form
    7,030.40/9,701.61 = 3,843.86/x
  3. Step 3: Cross multiply
    7,030.40x = 9,701.61 × 3,843.86
  4. Step 4: Simplify right side
    7,030.40x = 37,291,582.11
  5. Step 5: Solve for x
    x = 37,291,582.11/7,030.40
  6. Step 6: Final answer
    x = 5,304.34

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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.