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Finding the Fourth Proportional to 9,328.64, 14,012.40 and 7,870.64

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Solution

The fourth proportional to 9,328.64, 14,012.40 and 7,870.64 is: 11,822.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,328.64 : 14,012.40 = 7,870.64 : x
  2. Step 2: Convert to fraction form
    9,328.64/14,012.40 = 7,870.64/x
  3. Step 3: Cross multiply
    9,328.64x = 14,012.40 × 7,870.64
  4. Step 4: Simplify right side
    9,328.64x = 110,286,555.94
  5. Step 5: Solve for x
    x = 110,286,555.94/9,328.64
  6. Step 6: Final answer
    x = 11,822.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.