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Finding the Fourth Proportional to 9,931.61, 13,701.80 and 5,681.81

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Solution

The fourth proportional to 9,931.61, 13,701.80 and 5,681.81 is: 7,838.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,931.61 : 13,701.80 = 5,681.81 : x
  2. Step 2: Convert to fraction form
    9,931.61/13,701.80 = 5,681.81/x
  3. Step 3: Cross multiply
    9,931.61x = 13,701.80 × 5,681.81
  4. Step 4: Simplify right side
    9,931.61x = 77,850,927.34
  5. Step 5: Solve for x
    x = 77,850,927.34/9,931.61
  6. Step 6: Final answer
    x = 7,838.71

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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.