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Finding the Fourth Proportional to 9,678.07, 13,355.88 and 5,430.07

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Solution

The fourth proportional to 9,678.07, 13,355.88 and 5,430.07 is: 7,493.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.07 : 13,355.88 = 5,430.07 : x
  2. Step 2: Convert to fraction form
    9,678.07/13,355.88 = 5,430.07/x
  3. Step 3: Cross multiply
    9,678.07x = 13,355.88 × 5,430.07
  4. Step 4: Simplify right side
    9,678.07x = 72,523,363.31
  5. Step 5: Solve for x
    x = 72,523,363.31/9,678.07
  6. Step 6: Final answer
    x = 7,493.58

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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.