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Finding the Fourth Proportional to 9,703.29, 13,390.36 and 6,117.53

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Solution

The fourth proportional to 9,703.29, 13,390.36 and 6,117.53 is: 8,442.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.29 : 13,390.36 = 6,117.53 : x
  2. Step 2: Convert to fraction form
    9,703.29/13,390.36 = 6,117.53/x
  3. Step 3: Cross multiply
    9,703.29x = 13,390.36 × 6,117.53
  4. Step 4: Simplify right side
    9,703.29x = 81,915,881.18
  5. Step 5: Solve for x
    x = 81,915,881.18/9,703.29
  6. Step 6: Final answer
    x = 8,442.07

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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.