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Finding the Fourth Proportional to 7,235.60, 9,985.34 and 4,365.16

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Solution

The fourth proportional to 7,235.60, 9,985.34 and 4,365.16 is: 6,024.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,235.60 : 9,985.34 = 4,365.16 : x
  2. Step 2: Convert to fraction form
    7,235.60/9,985.34 = 4,365.16/x
  3. Step 3: Cross multiply
    7,235.60x = 9,985.34 × 4,365.16
  4. Step 4: Simplify right side
    7,235.60x = 43,587,606.75
  5. Step 5: Solve for x
    x = 43,587,606.75/7,235.60
  6. Step 6: Final answer
    x = 6,024.05

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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.