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Finding the Fourth Proportional to 7,130.76, 9,840.46 and 3,987.68

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Solution

The fourth proportional to 7,130.76, 9,840.46 and 3,987.68 is: 5,503.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.76 : 9,840.46 = 3,987.68 : x
  2. Step 2: Convert to fraction form
    7,130.76/9,840.46 = 3,987.68/x
  3. Step 3: Cross multiply
    7,130.76x = 9,840.46 × 3,987.68
  4. Step 4: Simplify right side
    7,130.76x = 39,240,605.53
  5. Step 5: Solve for x
    x = 39,240,605.53/7,130.76
  6. Step 6: Final answer
    x = 5,503.00

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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.