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Finding the Fourth Proportional to 9,678.68, 13,357.59 and 5,430.89

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Solution

The fourth proportional to 9,678.68, 13,357.59 and 5,430.89 is: 7,495.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.68 : 13,357.59 = 5,430.89 : x
  2. Step 2: Convert to fraction form
    9,678.68/13,357.59 = 5,430.89/x
  3. Step 3: Cross multiply
    9,678.68x = 13,357.59 × 5,430.89
  4. Step 4: Simplify right side
    9,678.68x = 72,543,645.53
  5. Step 5: Solve for x
    x = 72,543,645.53/9,678.68
  6. Step 6: Final answer
    x = 7,495.20

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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.