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Finding the Fourth Proportional to 12,957.32, 19,421.40 and 6,369.68

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Solution

The fourth proportional to 12,957.32, 19,421.40 and 6,369.68 is: 9,547.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,957.32 : 19,421.40 = 6,369.68 : x
  2. Step 2: Convert to fraction form
    12,957.32/19,421.40 = 6,369.68/x
  3. Step 3: Cross multiply
    12,957.32x = 19,421.40 × 6,369.68
  4. Step 4: Simplify right side
    12,957.32x = 123,708,103.15
  5. Step 5: Solve for x
    x = 123,708,103.15/12,957.32
  6. Step 6: Final answer
    x = 9,547.35

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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.