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Finding the Fourth Proportional to 7,112.64, 9,815.38 and 3,925.98

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Solution

The fourth proportional to 7,112.64, 9,815.38 and 3,925.98 is: 5,417.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,112.64 : 9,815.38 = 3,925.98 : x
  2. Step 2: Convert to fraction form
    7,112.64/9,815.38 = 3,925.98/x
  3. Step 3: Cross multiply
    7,112.64x = 9,815.38 × 3,925.98
  4. Step 4: Simplify right side
    7,112.64x = 38,534,985.57
  5. Step 5: Solve for x
    x = 38,534,985.57/7,112.64
  6. Step 6: Final answer
    x = 5,417.82

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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.