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Finding the Fourth Proportional to 9,876.04, 13,630.58 and 5,683.40

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Solution

The fourth proportional to 9,876.04, 13,630.58 and 5,683.40 is: 7,844.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.04 : 13,630.58 = 5,683.40 : x
  2. Step 2: Convert to fraction form
    9,876.04/13,630.58 = 5,683.40/x
  3. Step 3: Cross multiply
    9,876.04x = 13,630.58 × 5,683.40
  4. Step 4: Simplify right side
    9,876.04x = 77,468,038.37
  5. Step 5: Solve for x
    x = 77,468,038.37/9,876.04
  6. Step 6: Final answer
    x = 7,844.04

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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.