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Finding the Fourth Proportional to 9,339.42, 12,885.84 and 6,503.64

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Solution

The fourth proportional to 9,339.42, 12,885.84 and 6,503.64 is: 8,973.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,339.42 : 12,885.84 = 6,503.64 : x
  2. Step 2: Convert to fraction form
    9,339.42/12,885.84 = 6,503.64/x
  3. Step 3: Cross multiply
    9,339.42x = 12,885.84 × 6,503.64
  4. Step 4: Simplify right side
    9,339.42x = 83,804,864.46
  5. Step 5: Solve for x
    x = 83,804,864.46/9,339.42
  6. Step 6: Final answer
    x = 8,973.24

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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.