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Finding the Fourth Proportional to 9,862.92, 13,595.72 and 7,870.32

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Solution

The fourth proportional to 9,862.92, 13,595.72 and 7,870.32 is: 10,848.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.92 : 13,595.72 = 7,870.32 : x
  2. Step 2: Convert to fraction form
    9,862.92/13,595.72 = 7,870.32/x
  3. Step 3: Cross multiply
    9,862.92x = 13,595.72 × 7,870.32
  4. Step 4: Simplify right side
    9,862.92x = 107,002,627.68
  5. Step 5: Solve for x
    x = 107,002,627.68/9,862.92
  6. Step 6: Final answer
    x = 10,848.98

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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.