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Finding the Fourth Proportional to 9,878.58, 13,632.30 and 5,402.52

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Solution

The fourth proportional to 9,878.58, 13,632.30 and 5,402.52 is: 7,455.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.58 : 13,632.30 = 5,402.52 : x
  2. Step 2: Convert to fraction form
    9,878.58/13,632.30 = 5,402.52/x
  3. Step 3: Cross multiply
    9,878.58x = 13,632.30 × 5,402.52
  4. Step 4: Simplify right side
    9,878.58x = 73,648,773.40
  5. Step 5: Solve for x
    x = 73,648,773.40/9,878.58
  6. Step 6: Final answer
    x = 7,455.40

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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.