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Finding the Fourth Proportional to 9,860.86, 13,607.94 and 5,384.53

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Solution

The fourth proportional to 9,860.86, 13,607.94 and 5,384.53 is: 7,430.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,860.86 : 13,607.94 = 5,384.53 : x
  2. Step 2: Convert to fraction form
    9,860.86/13,607.94 = 5,384.53/x
  3. Step 3: Cross multiply
    9,860.86x = 13,607.94 × 5,384.53
  4. Step 4: Simplify right side
    9,860.86x = 73,272,361.17
  5. Step 5: Solve for x
    x = 73,272,361.17/9,860.86
  6. Step 6: Final answer
    x = 7,430.63

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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.