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Finding the Fourth Proportional to 9,703.55, 13,390.71 and 6,117.78

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Solution

The fourth proportional to 9,703.55, 13,390.71 and 6,117.78 is: 8,442.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.55 : 13,390.71 = 6,117.78 : x
  2. Step 2: Convert to fraction form
    9,703.55/13,390.71 = 6,117.78/x
  3. Step 3: Cross multiply
    9,703.55x = 13,390.71 × 6,117.78
  4. Step 4: Simplify right side
    9,703.55x = 81,921,335.58
  5. Step 5: Solve for x
    x = 81,921,335.58/9,703.55
  6. Step 6: Final answer
    x = 8,442.41

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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.