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Finding the Fourth Proportional to 9,681.45, 13,360.32 and 5,432.42

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Solution

The fourth proportional to 9,681.45, 13,360.32 and 5,432.42 is: 7,496.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.45 : 13,360.32 = 5,432.42 : x
  2. Step 2: Convert to fraction form
    9,681.45/13,360.32 = 5,432.42/x
  3. Step 3: Cross multiply
    9,681.45x = 13,360.32 × 5,432.42
  4. Step 4: Simplify right side
    9,681.45x = 72,578,802.77
  5. Step 5: Solve for x
    x = 72,578,802.77/9,681.45
  6. Step 6: Final answer
    x = 7,496.69

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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.