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Finding the Fourth Proportional to 9,703.61, 13,396.08 and 6,533.58

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Solution

The fourth proportional to 9,703.61, 13,396.08 and 6,533.58 is: 9,019.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.61 : 13,396.08 = 6,533.58 : x
  2. Step 2: Convert to fraction form
    9,703.61/13,396.08 = 6,533.58/x
  3. Step 3: Cross multiply
    9,703.61x = 13,396.08 × 6,533.58
  4. Step 4: Simplify right side
    9,703.61x = 87,524,334.63
  5. Step 5: Solve for x
    x = 87,524,334.63/9,703.61
  6. Step 6: Final answer
    x = 9,019.77

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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.