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Finding the Fourth Proportional to 9,130.83, 13,710.65 and 5,683.47

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Solution

The fourth proportional to 9,130.83, 13,710.65 and 5,683.47 is: 8,534.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.83 : 13,710.65 = 5,683.47 : x
  2. Step 2: Convert to fraction form
    9,130.83/13,710.65 = 5,683.47/x
  3. Step 3: Cross multiply
    9,130.83x = 13,710.65 × 5,683.47
  4. Step 4: Simplify right side
    9,130.83x = 77,924,039.54
  5. Step 5: Solve for x
    x = 77,924,039.54/9,130.83
  6. Step 6: Final answer
    x = 8,534.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.