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Finding the Fourth Proportional to 9,430.86, 13,014.18 and 5,656.14

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Solution

The fourth proportional to 9,430.86, 13,014.18 and 5,656.14 is: 7,805.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,430.86 : 13,014.18 = 5,656.14 : x
  2. Step 2: Convert to fraction form
    9,430.86/13,014.18 = 5,656.14/x
  3. Step 3: Cross multiply
    9,430.86x = 13,014.18 × 5,656.14
  4. Step 4: Simplify right side
    9,430.86x = 73,610,024.07
  5. Step 5: Solve for x
    x = 73,610,024.07/9,430.86
  6. Step 6: Final answer
    x = 7,805.23

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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.