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Finding the Fourth Proportional to 9,758.19, 13,465.29 and 5,509.49

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Solution

The fourth proportional to 9,758.19, 13,465.29 and 5,509.49 is: 7,602.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.19 : 13,465.29 = 5,509.49 : x
  2. Step 2: Convert to fraction form
    9,758.19/13,465.29 = 5,509.49/x
  3. Step 3: Cross multiply
    9,758.19x = 13,465.29 × 5,509.49
  4. Step 4: Simplify right side
    9,758.19x = 74,186,802.95
  5. Step 5: Solve for x
    x = 74,186,802.95/9,758.19
  6. Step 6: Final answer
    x = 7,602.52

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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.