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Finding the Fourth Proportional to 7,130.84, 9,840.89 and 4,298.37

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Solution

The fourth proportional to 7,130.84, 9,840.89 and 4,298.37 is: 5,931.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.84 : 9,840.89 = 4,298.37 : x
  2. Step 2: Convert to fraction form
    7,130.84/9,840.89 = 4,298.37/x
  3. Step 3: Cross multiply
    7,130.84x = 9,840.89 × 4,298.37
  4. Step 4: Simplify right side
    7,130.84x = 42,299,760.19
  5. Step 5: Solve for x
    x = 42,299,760.19/7,130.84
  6. Step 6: Final answer
    x = 5,931.95

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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.