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Finding the Fourth Proportional to 7,051.60, 9,734.52 and 4,402.90

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Solution

The fourth proportional to 7,051.60, 9,734.52 and 4,402.90 is: 6,078.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051.60 : 9,734.52 = 4,402.90 : x
  2. Step 2: Convert to fraction form
    7,051.60/9,734.52 = 4,402.90/x
  3. Step 3: Cross multiply
    7,051.60x = 9,734.52 × 4,402.90
  4. Step 4: Simplify right side
    7,051.60x = 42,860,118.11
  5. Step 5: Solve for x
    x = 42,860,118.11/7,051.60
  6. Step 6: Final answer
    x = 6,078.07

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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.