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Finding the Fourth Proportional to 9,931.60, 13,704.69 and 5,681.80

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Solution

The fourth proportional to 9,931.60, 13,704.69 and 5,681.80 is: 7,840.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,931.60 : 13,704.69 = 5,681.80 : x
  2. Step 2: Convert to fraction form
    9,931.60/13,704.69 = 5,681.80/x
  3. Step 3: Cross multiply
    9,931.60x = 13,704.69 × 5,681.80
  4. Step 4: Simplify right side
    9,931.60x = 77,867,307.64
  5. Step 5: Solve for x
    x = 77,867,307.64/9,931.60
  6. Step 6: Final answer
    x = 7,840.36

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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.