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Finding the Fourth Proportional to 9,688.59, 13,377.69 and 7,042.32

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Solution

The fourth proportional to 9,688.59, 13,377.69 and 7,042.32 is: 9,723.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,688.59 : 13,377.69 = 7,042.32 : x
  2. Step 2: Convert to fraction form
    9,688.59/13,377.69 = 7,042.32/x
  3. Step 3: Cross multiply
    9,688.59x = 13,377.69 × 7,042.32
  4. Step 4: Simplify right side
    9,688.59x = 94,209,973.84
  5. Step 5: Solve for x
    x = 94,209,973.84/9,688.59
  6. Step 6: Final answer
    x = 9,723.81

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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.