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Finding the Fourth Proportional to 9,780.60, 13,495.14 and 5,802.99

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Solution

The fourth proportional to 9,780.60, 13,495.14 and 5,802.99 is: 8,006.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.60 : 13,495.14 = 5,802.99 : x
  2. Step 2: Convert to fraction form
    9,780.60/13,495.14 = 5,802.99/x
  3. Step 3: Cross multiply
    9,780.60x = 13,495.14 × 5,802.99
  4. Step 4: Simplify right side
    9,780.60x = 78,312,162.47
  5. Step 5: Solve for x
    x = 78,312,162.47/9,780.60
  6. Step 6: Final answer
    x = 8,006.89

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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.